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Finding the Third Proportional to 54,580.92 and 86,792.20

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Solution

The third proportional to 54,580.92 and 86,792.20 is: 138,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,580.92 : 86,792.20 = 86,792.20 : x
  2. Step 2: Convert to fraction form
    54,580.92/86,792.20 = 86,792.20/x
  3. Step 3: Cross multiply
    54,580.92x = 86,792.20 × 86,792.20
  4. Step 4: Simplify right side
    54,580.92x = 7,532,886,523.29
  5. Step 5: Solve for x
    x = 7,532,886,523.29/54,580.92
  6. Step 6: Final answer
    x = 138,013.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.