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Finding the Third Proportional to 54,421.88 and 84,088.13

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Solution

The third proportional to 54,421.88 and 84,088.13 is: 129,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,421.88 : 84,088.13 = 84,088.13 : x
  2. Step 2: Convert to fraction form
    54,421.88/84,088.13 = 84,088.13/x
  3. Step 3: Cross multiply
    54,421.88x = 84,088.13 × 84,088.13
  4. Step 4: Simplify right side
    54,421.88x = 7,070,812,766.02
  5. Step 5: Solve for x
    x = 7,070,812,766.02/54,421.88
  6. Step 6: Final answer
    x = 129,925.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.