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Finding the Third Proportional to 91,344 and 141,360

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Solution

The third proportional to 91,344 and 141,360 is: 218,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,344 : 141,360 = 141,360 : x
  2. Step 2: Convert to fraction form
    91,344/141,360 = 141,360/x
  3. Step 3: Cross multiply
    91,344x = 141,360 × 141,360
  4. Step 4: Simplify right side
    91,344x = 19,982,649,600
  5. Step 5: Solve for x
    x = 19,982,649,600/91,344
  6. Step 6: Final answer
    x = 218,762.59

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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.