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Finding the Third Proportional to 60,652.13 and 129,616.88

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Solution

The third proportional to 60,652.13 and 129,616.88 is: 276,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,652.13 : 129,616.88 = 129,616.88 : x
  2. Step 2: Convert to fraction form
    60,652.13/129,616.88 = 129,616.88/x
  3. Step 3: Cross multiply
    60,652.13x = 129,616.88 × 129,616.88
  4. Step 4: Simplify right side
    60,652.13x = 16,800,534,284.77
  5. Step 5: Solve for x
    x = 16,800,534,284.77/60,652.13
  6. Step 6: Final answer
    x = 276,998.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.