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Finding the Third Proportional to 52,452.56 and 112,267.27

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Solution

The third proportional to 52,452.56 and 112,267.27 is: 240,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,452.56 : 112,267.27 = 112,267.27 : x
  2. Step 2: Convert to fraction form
    52,452.56/112,267.27 = 112,267.27/x
  3. Step 3: Cross multiply
    52,452.56x = 112,267.27 × 112,267.27
  4. Step 4: Simplify right side
    52,452.56x = 12,603,938,930.91
  5. Step 5: Solve for x
    x = 12,603,938,930.91/52,452.56
  6. Step 6: Final answer
    x = 240,292.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.