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Finding the Third Proportional to 81,399 and 174,480

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Solution

The third proportional to 81,399 and 174,480 is: 374,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,399 : 174,480 = 174,480 : x
  2. Step 2: Convert to fraction form
    81,399/174,480 = 174,480/x
  3. Step 3: Cross multiply
    81,399x = 174,480 × 174,480
  4. Step 4: Simplify right side
    81,399x = 30,443,270,400
  5. Step 5: Solve for x
    x = 30,443,270,400/81,399
  6. Step 6: Final answer
    x = 374,000.55

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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.