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Finding the Third Proportional to 88,692 and 137,703

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Solution

The third proportional to 88,692 and 137,703 is: 213,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,692 : 137,703 = 137,703 : x
  2. Step 2: Convert to fraction form
    88,692/137,703 = 137,703/x
  3. Step 3: Cross multiply
    88,692x = 137,703 × 137,703
  4. Step 4: Simplify right side
    88,692x = 18,962,116,209
  5. Step 5: Solve for x
    x = 18,962,116,209/88,692
  6. Step 6: Final answer
    x = 213,797.37

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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.