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Finding the Third Proportional to 72,372 and 95,382

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Solution

The third proportional to 72,372 and 95,382 is: 125,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,372 : 95,382 = 95,382 : x
  2. Step 2: Convert to fraction form
    72,372/95,382 = 95,382/x
  3. Step 3: Cross multiply
    72,372x = 95,382 × 95,382
  4. Step 4: Simplify right side
    72,372x = 9,097,725,924
  5. Step 5: Solve for x
    x = 9,097,725,924/72,372
  6. Step 6: Final answer
    x = 125,707.81

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.