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Finding the Third Proportional to 61,328 and 91,344

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Solution

The third proportional to 61,328 and 91,344 is: 136,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,328 : 91,344 = 91,344 : x
  2. Step 2: Convert to fraction form
    61,328/91,344 = 91,344/x
  3. Step 3: Cross multiply
    61,328x = 91,344 × 91,344
  4. Step 4: Simplify right side
    61,328x = 8,343,726,336
  5. Step 5: Solve for x
    x = 8,343,726,336/61,328
  6. Step 6: Final answer
    x = 136,050.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.