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Finding the Third Proportional to 87,534.50 and 137,171.50

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Solution

The third proportional to 87,534.50 and 137,171.50 is: 214,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,534.50 : 137,171.50 = 137,171.50 : x
  2. Step 2: Convert to fraction form
    87,534.50/137,171.50 = 137,171.50/x
  3. Step 3: Cross multiply
    87,534.50x = 137,171.50 × 137,171.50
  4. Step 4: Simplify right side
    87,534.50x = 18,816,020,412.25
  5. Step 5: Solve for x
    x = 18,816,020,412.25/87,534.50
  6. Step 6: Final answer
    x = 214,955.48

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.