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Finding the Third Proportional to 52.94 and 87.88

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Solution

The third proportional to 52.94 and 87.88 is: 145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.94 : 87.88 = 87.88 : x
  2. Step 2: Convert to fraction form
    52.94/87.88 = 87.88/x
  3. Step 3: Cross multiply
    52.94x = 87.88 × 87.88
  4. Step 4: Simplify right side
    52.94x = 7,722.02
  5. Step 5: Solve for x
    x = 7,722.02/52.94
  6. Step 6: Final answer
    x = 145.87

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.