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Finding the Third Proportional to 125,506.13 and 191,200.50

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Solution

The third proportional to 125,506.13 and 191,200.50 is: 291,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,506.13 : 191,200.50 = 191,200.50 : x
  2. Step 2: Convert to fraction form
    125,506.13/191,200.50 = 191,200.50/x
  3. Step 3: Cross multiply
    125,506.13x = 191,200.50 × 191,200.50
  4. Step 4: Simplify right side
    125,506.13x = 36,557,631,200.25
  5. Step 5: Solve for x
    x = 36,557,631,200.25/125,506.13
  6. Step 6: Final answer
    x = 291,281.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.