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Finding the Third Proportional to 125,531 and 276,526

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Solution

The third proportional to 125,531 and 276,526 is: 609,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,531 : 276,526 = 276,526 : x
  2. Step 2: Convert to fraction form
    125,531/276,526 = 276,526/x
  3. Step 3: Cross multiply
    125,531x = 276,526 × 276,526
  4. Step 4: Simplify right side
    125,531x = 76,466,628,676
  5. Step 5: Solve for x
    x = 76,466,628,676/125,531
  6. Step 6: Final answer
    x = 609,145.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.