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Finding the Third Proportional to 88,612 and 137,372

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Solution

The third proportional to 88,612 and 137,372 is: 212,962.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,612 : 137,372 = 137,372 : x
  2. Step 2: Convert to fraction form
    88,612/137,372 = 137,372/x
  3. Step 3: Cross multiply
    88,612x = 137,372 × 137,372
  4. Step 4: Simplify right side
    88,612x = 18,871,066,384
  5. Step 5: Solve for x
    x = 18,871,066,384/88,612
  6. Step 6: Final answer
    x = 212,962.88

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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.