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Finding the Third Proportional to 80,076 and 125,614

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Solution

The third proportional to 80,076 and 125,614 is: 197,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,076 : 125,614 = 125,614 : x
  2. Step 2: Convert to fraction form
    80,076/125,614 = 125,614/x
  3. Step 3: Cross multiply
    80,076x = 125,614 × 125,614
  4. Step 4: Simplify right side
    80,076x = 15,778,876,996
  5. Step 5: Solve for x
    x = 15,778,876,996/80,076
  6. Step 6: Final answer
    x = 197,048.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.