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Finding the Third Proportional to 60,864 and 91,440

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Solution

The third proportional to 60,864 and 91,440 is: 137,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,864 : 91,440 = 91,440 : x
  2. Step 2: Convert to fraction form
    60,864/91,440 = 91,440/x
  3. Step 3: Cross multiply
    60,864x = 91,440 × 91,440
  4. Step 4: Simplify right side
    60,864x = 8,361,273,600
  5. Step 5: Solve for x
    x = 8,361,273,600/60,864
  6. Step 6: Final answer
    x = 137,376.34

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Why These Related Problems?

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