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Finding the Third Proportional to 101,102 and 155,870

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Solution

The third proportional to 101,102 and 155,870 is: 240,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,102 : 155,870 = 155,870 : x
  2. Step 2: Convert to fraction form
    101,102/155,870 = 155,870/x
  3. Step 3: Cross multiply
    101,102x = 155,870 × 155,870
  4. Step 4: Simplify right side
    101,102x = 24,295,456,900
  5. Step 5: Solve for x
    x = 24,295,456,900/101,102
  6. Step 6: Final answer
    x = 240,306.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.