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Finding the Third Proportional to 83,544 and 120,708

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Solution

The third proportional to 83,544 and 120,708 is: 174,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,544 : 120,708 = 120,708 : x
  2. Step 2: Convert to fraction form
    83,544/120,708 = 120,708/x
  3. Step 3: Cross multiply
    83,544x = 120,708 × 120,708
  4. Step 4: Simplify right side
    83,544x = 14,570,421,264
  5. Step 5: Solve for x
    x = 14,570,421,264/83,544
  6. Step 6: Final answer
    x = 174,404.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.