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Finding the Third Proportional to 88,740 and 137,790

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Solution

The third proportional to 88,740 and 137,790 is: 213,951.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,740 : 137,790 = 137,790 : x
  2. Step 2: Convert to fraction form
    88,740/137,790 = 137,790/x
  3. Step 3: Cross multiply
    88,740x = 137,790 × 137,790
  4. Step 4: Simplify right side
    88,740x = 18,986,084,100
  5. Step 5: Solve for x
    x = 18,986,084,100/88,740
  6. Step 6: Final answer
    x = 213,951.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.