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Finding the Third Proportional to 80,480 and 125,321

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Solution

The third proportional to 80,480 and 125,321 is: 195,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,480 : 125,321 = 125,321 : x
  2. Step 2: Convert to fraction form
    80,480/125,321 = 125,321/x
  3. Step 3: Cross multiply
    80,480x = 125,321 × 125,321
  4. Step 4: Simplify right side
    80,480x = 15,705,353,041
  5. Step 5: Solve for x
    x = 15,705,353,041/80,480
  6. Step 6: Final answer
    x = 195,146.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.