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Finding the Third Proportional to 63,849 and 101,052

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Solution

The third proportional to 63,849 and 101,052 is: 159,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,849 : 101,052 = 101,052 : x
  2. Step 2: Convert to fraction form
    63,849/101,052 = 101,052/x
  3. Step 3: Cross multiply
    63,849x = 101,052 × 101,052
  4. Step 4: Simplify right side
    63,849x = 10,211,506,704
  5. Step 5: Solve for x
    x = 10,211,506,704/63,849
  6. Step 6: Final answer
    x = 159,932.13

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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.