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Finding the Third Proportional to 61,448 and 134,012

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Solution

The third proportional to 61,448 and 134,012 is: 292,266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,448 : 134,012 = 134,012 : x
  2. Step 2: Convert to fraction form
    61,448/134,012 = 134,012/x
  3. Step 3: Cross multiply
    61,448x = 134,012 × 134,012
  4. Step 4: Simplify right side
    61,448x = 17,959,216,144
  5. Step 5: Solve for x
    x = 17,959,216,144/61,448
  6. Step 6: Final answer
    x = 292,266.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.