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Finding the Third Proportional to 59,098.50 and 89,740.69

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Solution

The third proportional to 59,098.50 and 89,740.69 is: 136,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,098.50 : 89,740.69 = 89,740.69 : x
  2. Step 2: Convert to fraction form
    59,098.50/89,740.69 = 89,740.69/x
  3. Step 3: Cross multiply
    59,098.50x = 89,740.69 × 89,740.69
  4. Step 4: Simplify right side
    59,098.50x = 8,053,390,992.97
  5. Step 5: Solve for x
    x = 8,053,390,992.97/59,098.50
  6. Step 6: Final answer
    x = 136,270.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.