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Finding the Third Proportional to 40,428 and 95,298

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Solution

The third proportional to 40,428 and 95,298 is: 224,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,428 : 95,298 = 95,298 : x
  2. Step 2: Convert to fraction form
    40,428/95,298 = 95,298/x
  3. Step 3: Cross multiply
    40,428x = 95,298 × 95,298
  4. Step 4: Simplify right side
    40,428x = 9,081,708,804
  5. Step 5: Solve for x
    x = 9,081,708,804/40,428
  6. Step 6: Final answer
    x = 224,639.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.