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Finding the Third Proportional to 59,656.50 and 129,863.25

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Solution

The third proportional to 59,656.50 and 129,863.25 is: 282,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,656.50 : 129,863.25 = 129,863.25 : x
  2. Step 2: Convert to fraction form
    59,656.50/129,863.25 = 129,863.25/x
  3. Step 3: Cross multiply
    59,656.50x = 129,863.25 × 129,863.25
  4. Step 4: Simplify right side
    59,656.50x = 16,864,463,700.56
  5. Step 5: Solve for x
    x = 16,864,463,700.56/59,656.50
  6. Step 6: Final answer
    x = 282,692.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.