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Finding the Third Proportional to 59,098.50 and 88,689.50

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Solution

The third proportional to 59,098.50 and 88,689.50 is: 133,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,098.50 : 88,689.50 = 88,689.50 : x
  2. Step 2: Convert to fraction form
    59,098.50/88,689.50 = 88,689.50/x
  3. Step 3: Cross multiply
    59,098.50x = 88,689.50 × 88,689.50
  4. Step 4: Simplify right side
    59,098.50x = 7,865,827,410.25
  5. Step 5: Solve for x
    x = 7,865,827,410.25/59,098.50
  6. Step 6: Final answer
    x = 133,096.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.