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Finding the Third Proportional to 89,987 and 137,708

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Solution

The third proportional to 89,987 and 137,708 is: 210,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,987 : 137,708 = 137,708 : x
  2. Step 2: Convert to fraction form
    89,987/137,708 = 137,708/x
  3. Step 3: Cross multiply
    89,987x = 137,708 × 137,708
  4. Step 4: Simplify right side
    89,987x = 18,963,493,264
  5. Step 5: Solve for x
    x = 18,963,493,264/89,987
  6. Step 6: Final answer
    x = 210,735.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.