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Finding the Third Proportional to 125,131.50 and 272,295

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Solution

The third proportional to 125,131.50 and 272,295 is: 592,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,131.50 : 272,295 = 272,295 : x
  2. Step 2: Convert to fraction form
    125,131.50/272,295 = 272,295/x
  3. Step 3: Cross multiply
    125,131.50x = 272,295 × 272,295
  4. Step 4: Simplify right side
    125,131.50x = 74,144,567,025
  5. Step 5: Solve for x
    x = 74,144,567,025/125,131.50
  6. Step 6: Final answer
    x = 592,533.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.