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Finding the Third Proportional to 49,404 and 76,613

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Solution

The third proportional to 49,404 and 76,613 is: 118,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,404 : 76,613 = 76,613 : x
  2. Step 2: Convert to fraction form
    49,404/76,613 = 76,613/x
  3. Step 3: Cross multiply
    49,404x = 76,613 × 76,613
  4. Step 4: Simplify right side
    49,404x = 5,869,551,769
  5. Step 5: Solve for x
    x = 5,869,551,769/49,404
  6. Step 6: Final answer
    x = 118,807.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.