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Finding the Third Proportional to 60,648 and 127,579

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Solution

The third proportional to 60,648 and 127,579 is: 268,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,648 : 127,579 = 127,579 : x
  2. Step 2: Convert to fraction form
    60,648/127,579 = 127,579/x
  3. Step 3: Cross multiply
    60,648x = 127,579 × 127,579
  4. Step 4: Simplify right side
    60,648x = 16,276,401,241
  5. Step 5: Solve for x
    x = 16,276,401,241/60,648
  6. Step 6: Final answer
    x = 268,374.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.