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Finding the Third Proportional to 63,583 and 100,659

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Solution

The third proportional to 63,583 and 100,659 is: 159,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,583 : 100,659 = 100,659 : x
  2. Step 2: Convert to fraction form
    63,583/100,659 = 100,659/x
  3. Step 3: Cross multiply
    63,583x = 100,659 × 100,659
  4. Step 4: Simplify right side
    63,583x = 10,132,234,281
  5. Step 5: Solve for x
    x = 10,132,234,281/63,583
  6. Step 6: Final answer
    x = 159,354.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.