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Finding the Third Proportional to 42,724.13 and 93,502.69

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Solution

The third proportional to 42,724.13 and 93,502.69 is: 204,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,724.13 : 93,502.69 = 93,502.69 : x
  2. Step 2: Convert to fraction form
    42,724.13/93,502.69 = 93,502.69/x
  3. Step 3: Cross multiply
    42,724.13x = 93,502.69 × 93,502.69
  4. Step 4: Simplify right side
    42,724.13x = 8,742,752,569.72
  5. Step 5: Solve for x
    x = 8,742,752,569.72/42,724.13
  6. Step 6: Final answer
    x = 204,632.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.