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Finding the Third Proportional to 63,630 and 100,738

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Solution

The third proportional to 63,630 and 100,738 is: 159,486.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,630 : 100,738 = 100,738 : x
  2. Step 2: Convert to fraction form
    63,630/100,738 = 100,738/x
  3. Step 3: Cross multiply
    63,630x = 100,738 × 100,738
  4. Step 4: Simplify right side
    63,630x = 10,148,144,644
  5. Step 5: Solve for x
    x = 10,148,144,644/63,630
  6. Step 6: Final answer
    x = 159,486.79

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