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Finding the Third Proportional to 88,512 and 137,048

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Solution

The third proportional to 88,512 and 137,048 is: 212,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,512 : 137,048 = 137,048 : x
  2. Step 2: Convert to fraction form
    88,512/137,048 = 137,048/x
  3. Step 3: Cross multiply
    88,512x = 137,048 × 137,048
  4. Step 4: Simplify right side
    88,512x = 18,782,154,304
  5. Step 5: Solve for x
    x = 18,782,154,304/88,512
  6. Step 6: Final answer
    x = 212,198.96

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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.