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Finding the Third Proportional to 63,588 and 100,671

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Solution

The third proportional to 63,588 and 100,671 is: 159,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,588 : 100,671 = 100,671 : x
  2. Step 2: Convert to fraction form
    63,588/100,671 = 100,671/x
  3. Step 3: Cross multiply
    63,588x = 100,671 × 100,671
  4. Step 4: Simplify right side
    63,588x = 10,134,650,241
  5. Step 5: Solve for x
    x = 10,134,650,241/63,588
  6. Step 6: Final answer
    x = 159,379.92

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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.