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Finding the Third Proportional to 77,957 and 125,549

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Solution

The third proportional to 77,957 and 125,549 is: 202,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,957 : 125,549 = 125,549 : x
  2. Step 2: Convert to fraction form
    77,957/125,549 = 125,549/x
  3. Step 3: Cross multiply
    77,957x = 125,549 × 125,549
  4. Step 4: Simplify right side
    77,957x = 15,762,551,401
  5. Step 5: Solve for x
    x = 15,762,551,401/77,957
  6. Step 6: Final answer
    x = 202,195.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.