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Finding the Third Proportional to 48.75 and 88.13

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Solution

The third proportional to 48.75 and 88.13 is: 159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.75 : 88.13 = 88.13 : x
  2. Step 2: Convert to fraction form
    48.75/88.13 = 88.13/x
  3. Step 3: Cross multiply
    48.75x = 88.13 × 88.13
  4. Step 4: Simplify right side
    48.75x = 7,766.02
  5. Step 5: Solve for x
    x = 7,766.02/48.75
  6. Step 6: Final answer
    x = 159.30

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.