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Finding the Third Proportional to 103,720 and 151,048

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Solution

The third proportional to 103,720 and 151,048 is: 219,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,720 : 151,048 = 151,048 : x
  2. Step 2: Convert to fraction form
    103,720/151,048 = 151,048/x
  3. Step 3: Cross multiply
    103,720x = 151,048 × 151,048
  4. Step 4: Simplify right side
    103,720x = 22,815,498,304
  5. Step 5: Solve for x
    x = 22,815,498,304/103,720
  6. Step 6: Final answer
    x = 219,972.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.