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Finding the Third Proportional to 88,701 and 137,723

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Solution

The third proportional to 88,701 and 137,723 is: 213,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,701 : 137,723 = 137,723 : x
  2. Step 2: Convert to fraction form
    88,701/137,723 = 137,723/x
  3. Step 3: Cross multiply
    88,701x = 137,723 × 137,723
  4. Step 4: Simplify right side
    88,701x = 18,967,624,729
  5. Step 5: Solve for x
    x = 18,967,624,729/88,701
  6. Step 6: Final answer
    x = 213,837.78

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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.