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Finding the Third Proportional to 100,614 and 147,463

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Solution

The third proportional to 100,614 and 147,463 is: 216,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614 : 147,463 = 147,463 : x
  2. Step 2: Convert to fraction form
    100,614/147,463 = 147,463/x
  3. Step 3: Cross multiply
    100,614x = 147,463 × 147,463
  4. Step 4: Simplify right side
    100,614x = 21,745,336,369
  5. Step 5: Solve for x
    x = 21,745,336,369/100,614
  6. Step 6: Final answer
    x = 216,126.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.