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Finding the Third Proportional to 55,522 and 72,895

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Solution

The third proportional to 55,522 and 72,895 is: 95,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,522 : 72,895 = 72,895 : x
  2. Step 2: Convert to fraction form
    55,522/72,895 = 72,895/x
  3. Step 3: Cross multiply
    55,522x = 72,895 × 72,895
  4. Step 4: Simplify right side
    55,522x = 5,313,681,025
  5. Step 5: Solve for x
    x = 5,313,681,025/55,522
  6. Step 6: Final answer
    x = 95,704.06

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.