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Finding the Third Proportional to 72,452 and 110,830

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Solution

The third proportional to 72,452 and 110,830 is: 169,536.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,452 : 110,830 = 110,830 : x
  2. Step 2: Convert to fraction form
    72,452/110,830 = 110,830/x
  3. Step 3: Cross multiply
    72,452x = 110,830 × 110,830
  4. Step 4: Simplify right side
    72,452x = 12,283,288,900
  5. Step 5: Solve for x
    x = 12,283,288,900/72,452
  6. Step 6: Final answer
    x = 169,536.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.