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Finding the Third Proportional to 102,524 and 137,952

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Solution

The third proportional to 102,524 and 137,952 is: 185,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,524 : 137,952 = 137,952 : x
  2. Step 2: Convert to fraction form
    102,524/137,952 = 137,952/x
  3. Step 3: Cross multiply
    102,524x = 137,952 × 137,952
  4. Step 4: Simplify right side
    102,524x = 19,030,754,304
  5. Step 5: Solve for x
    x = 19,030,754,304/102,524
  6. Step 6: Final answer
    x = 185,622.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.