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Finding the Third Proportional to 52,762 and 124,549

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Solution

The third proportional to 52,762 and 124,549 is: 294,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,762 : 124,549 = 124,549 : x
  2. Step 2: Convert to fraction form
    52,762/124,549 = 124,549/x
  3. Step 3: Cross multiply
    52,762x = 124,549 × 124,549
  4. Step 4: Simplify right side
    52,762x = 15,512,453,401
  5. Step 5: Solve for x
    x = 15,512,453,401/52,762
  6. Step 6: Final answer
    x = 294,008.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.