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Finding the Third Proportional to 48,320 and 72,255

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Solution

The third proportional to 48,320 and 72,255 is: 108,046.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,320 : 72,255 = 72,255 : x
  2. Step 2: Convert to fraction form
    48,320/72,255 = 72,255/x
  3. Step 3: Cross multiply
    48,320x = 72,255 × 72,255
  4. Step 4: Simplify right side
    48,320x = 5,220,785,025
  5. Step 5: Solve for x
    x = 5,220,785,025/48,320
  6. Step 6: Final answer
    x = 108,046.05

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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.