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Finding the Third Proportional to 54,417.63 and 84,089.13

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Solution

The third proportional to 54,417.63 and 84,089.13 is: 129,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,417.63 : 84,089.13 = 84,089.13 : x
  2. Step 2: Convert to fraction form
    54,417.63/84,089.13 = 84,089.13/x
  3. Step 3: Cross multiply
    54,417.63x = 84,089.13 × 84,089.13
  4. Step 4: Simplify right side
    54,417.63x = 7,070,980,943.27
  5. Step 5: Solve for x
    x = 7,070,980,943.27/54,417.63
  6. Step 6: Final answer
    x = 129,939.17

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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.