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Finding the Third Proportional to 125,506.97 and 191,204.30

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Solution

The third proportional to 125,506.97 and 191,204.30 is: 291,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,506.97 : 191,204.30 = 191,204.30 : x
  2. Step 2: Convert to fraction form
    125,506.97/191,204.30 = 191,204.30/x
  3. Step 3: Cross multiply
    125,506.97x = 191,204.30 × 191,204.30
  4. Step 4: Simplify right side
    125,506.97x = 36,559,083,143.46
  5. Step 5: Solve for x
    x = 36,559,083,143.46/125,506.97
  6. Step 6: Final answer
    x = 291,291.26

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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.