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Finding the Third Proportional to 63,000 and 101,508

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Solution

The third proportional to 63,000 and 101,508 is: 163,553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,000 : 101,508 = 101,508 : x
  2. Step 2: Convert to fraction form
    63,000/101,508 = 101,508/x
  3. Step 3: Cross multiply
    63,000x = 101,508 × 101,508
  4. Step 4: Simplify right side
    63,000x = 10,303,874,064
  5. Step 5: Solve for x
    x = 10,303,874,064/63,000
  6. Step 6: Final answer
    x = 163,553.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.