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Finding the Third Proportional to 103,624 and 157,463

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Solution

The third proportional to 103,624 and 157,463 is: 239,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624 : 157,463 = 157,463 : x
  2. Step 2: Convert to fraction form
    103,624/157,463 = 157,463/x
  3. Step 3: Cross multiply
    103,624x = 157,463 × 157,463
  4. Step 4: Simplify right side
    103,624x = 24,794,596,369
  5. Step 5: Solve for x
    x = 24,794,596,369/103,624
  6. Step 6: Final answer
    x = 239,274.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.