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Finding the Third Proportional to 60,896 and 91,344

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Solution

The third proportional to 60,896 and 91,344 is: 137,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,896 : 91,344 = 91,344 : x
  2. Step 2: Convert to fraction form
    60,896/91,344 = 91,344/x
  3. Step 3: Cross multiply
    60,896x = 91,344 × 91,344
  4. Step 4: Simplify right side
    60,896x = 8,343,726,336
  5. Step 5: Solve for x
    x = 8,343,726,336/60,896
  6. Step 6: Final answer
    x = 137,016

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.