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Finding the Third Proportional to 125,673 and 271,023

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Solution

The third proportional to 125,673 and 271,023 is: 584,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,673 : 271,023 = 271,023 : x
  2. Step 2: Convert to fraction form
    125,673/271,023 = 271,023/x
  3. Step 3: Cross multiply
    125,673x = 271,023 × 271,023
  4. Step 4: Simplify right side
    125,673x = 73,453,466,529
  5. Step 5: Solve for x
    x = 73,453,466,529/125,673
  6. Step 6: Final answer
    x = 584,480.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.