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Finding the Third Proportional to 54,417.38 and 84,088.69

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Solution

The third proportional to 54,417.38 and 84,088.69 is: 129,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,417.38 : 84,088.69 = 84,088.69 : x
  2. Step 2: Convert to fraction form
    54,417.38/84,088.69 = 84,088.69/x
  3. Step 3: Cross multiply
    54,417.38x = 84,088.69 × 84,088.69
  4. Step 4: Simplify right side
    54,417.38x = 7,070,907,365.47
  5. Step 5: Solve for x
    x = 7,070,907,365.47/54,417.38
  6. Step 6: Final answer
    x = 129,938.41

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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.