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Finding the Third Proportional to 125,509.50 and 191,205

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Solution

The third proportional to 125,509.50 and 191,205 is: 291,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,509.50 : 191,205 = 191,205 : x
  2. Step 2: Convert to fraction form
    125,509.50/191,205 = 191,205/x
  3. Step 3: Cross multiply
    125,509.50x = 191,205 × 191,205
  4. Step 4: Simplify right side
    125,509.50x = 36,559,352,025
  5. Step 5: Solve for x
    x = 36,559,352,025/125,509.50
  6. Step 6: Final answer
    x = 291,287.53

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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.