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Finding the Third Proportional to 88,781.50 and 119,616.50

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Solution

The third proportional to 88,781.50 and 119,616.50 is: 161,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,781.50 : 119,616.50 = 119,616.50 : x
  2. Step 2: Convert to fraction form
    88,781.50/119,616.50 = 119,616.50/x
  3. Step 3: Cross multiply
    88,781.50x = 119,616.50 × 119,616.50
  4. Step 4: Simplify right side
    88,781.50x = 14,308,107,072.25
  5. Step 5: Solve for x
    x = 14,308,107,072.25/88,781.50
  6. Step 6: Final answer
    x = 161,160.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.