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Finding the Third Proportional to 59,113 and 129,709.50

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Solution

The third proportional to 59,113 and 129,709.50 is: 284,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,113 : 129,709.50 = 129,709.50 : x
  2. Step 2: Convert to fraction form
    59,113/129,709.50 = 129,709.50/x
  3. Step 3: Cross multiply
    59,113x = 129,709.50 × 129,709.50
  4. Step 4: Simplify right side
    59,113x = 16,824,554,390.25
  5. Step 5: Solve for x
    x = 16,824,554,390.25/59,113
  6. Step 6: Final answer
    x = 284,616.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.