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Finding the Third Proportional to 59,117.50 and 129,731.93

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Solution

The third proportional to 59,117.50 and 129,731.93 is: 284,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,117.50 : 129,731.93 = 129,731.93 : x
  2. Step 2: Convert to fraction form
    59,117.50/129,731.93 = 129,731.93/x
  3. Step 3: Cross multiply
    59,117.50x = 129,731.93 × 129,731.93
  4. Step 4: Simplify right side
    59,117.50x = 16,830,373,580.44
  5. Step 5: Solve for x
    x = 16,830,373,580.44/59,117.50
  6. Step 6: Final answer
    x = 284,693.61

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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.