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Finding the Third Proportional to 49,326 and 76,291

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Solution

The third proportional to 49,326 and 76,291 is: 117,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,326 : 76,291 = 76,291 : x
  2. Step 2: Convert to fraction form
    49,326/76,291 = 76,291/x
  3. Step 3: Cross multiply
    49,326x = 76,291 × 76,291
  4. Step 4: Simplify right side
    49,326x = 5,820,316,681
  5. Step 5: Solve for x
    x = 5,820,316,681/49,326
  6. Step 6: Final answer
    x = 117,996.93

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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.