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Finding the Third Proportional to 52.13 and 78.19

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Solution

The third proportional to 52.13 and 78.19 is: 117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.13 : 78.19 = 78.19 : x
  2. Step 2: Convert to fraction form
    52.13/78.19 = 78.19/x
  3. Step 3: Cross multiply
    52.13x = 78.19 × 78.19
  4. Step 4: Simplify right side
    52.13x = 6,113.29
  5. Step 5: Solve for x
    x = 6,113.29/52.13
  6. Step 6: Final answer
    x = 117.28

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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.