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Finding the Third Proportional to 63,809 and 95,091

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Solution

The third proportional to 63,809 and 95,091 is: 141,708.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,809 : 95,091 = 95,091 : x
  2. Step 2: Convert to fraction form
    63,809/95,091 = 95,091/x
  3. Step 3: Cross multiply
    63,809x = 95,091 × 95,091
  4. Step 4: Simplify right side
    63,809x = 9,042,298,281
  5. Step 5: Solve for x
    x = 9,042,298,281/63,809
  6. Step 6: Final answer
    x = 141,708.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.