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Finding the Third Proportional to 72,641 and 111,074

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Solution

The third proportional to 72,641 and 111,074 is: 169,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,641 : 111,074 = 111,074 : x
  2. Step 2: Convert to fraction form
    72,641/111,074 = 111,074/x
  3. Step 3: Cross multiply
    72,641x = 111,074 × 111,074
  4. Step 4: Simplify right side
    72,641x = 12,337,433,476
  5. Step 5: Solve for x
    x = 12,337,433,476/72,641
  6. Step 6: Final answer
    x = 169,841.18

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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.