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Finding the Third Proportional to 63,940 and 94,182

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Solution

The third proportional to 63,940 and 94,182 is: 138,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,940 : 94,182 = 94,182 : x
  2. Step 2: Convert to fraction form
    63,940/94,182 = 94,182/x
  3. Step 3: Cross multiply
    63,940x = 94,182 × 94,182
  4. Step 4: Simplify right side
    63,940x = 8,870,249,124
  5. Step 5: Solve for x
    x = 8,870,249,124/63,940
  6. Step 6: Final answer
    x = 138,727.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.