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Finding the Third Proportional to 53,317.13 and 81,127.69

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Solution

The third proportional to 53,317.13 and 81,127.69 is: 123,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,317.13 : 81,127.69 = 81,127.69 : x
  2. Step 2: Convert to fraction form
    53,317.13/81,127.69 = 81,127.69/x
  3. Step 3: Cross multiply
    53,317.13x = 81,127.69 × 81,127.69
  4. Step 4: Simplify right side
    53,317.13x = 6,581,701,679.10
  5. Step 5: Solve for x
    x = 6,581,701,679.10/53,317.13
  6. Step 6: Final answer
    x = 123,444.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.