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Finding the Third Proportional to 52.13 and 87.19

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Solution

The third proportional to 52.13 and 87.19 is: 145.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.13 : 87.19 = 87.19 : x
  2. Step 2: Convert to fraction form
    52.13/87.19 = 87.19/x
  3. Step 3: Cross multiply
    52.13x = 87.19 × 87.19
  4. Step 4: Simplify right side
    52.13x = 7,601.66
  5. Step 5: Solve for x
    x = 7,601.66/52.13
  6. Step 6: Final answer
    x = 145.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.