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Finding the Third Proportional to 54,558.56 and 84,088.13

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Solution

The third proportional to 54,558.56 and 84,088.13 is: 129,600.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,558.56 : 84,088.13 = 84,088.13 : x
  2. Step 2: Convert to fraction form
    54,558.56/84,088.13 = 84,088.13/x
  3. Step 3: Cross multiply
    54,558.56x = 84,088.13 × 84,088.13
  4. Step 4: Simplify right side
    54,558.56x = 7,070,812,766.02
  5. Step 5: Solve for x
    x = 7,070,812,766.02/54,558.56
  6. Step 6: Final answer
    x = 129,600.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.