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Finding the Third Proportional to 121,662 and 260,523

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Solution

The third proportional to 121,662 and 260,523 is: 557,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,662 : 260,523 = 260,523 : x
  2. Step 2: Convert to fraction form
    121,662/260,523 = 260,523/x
  3. Step 3: Cross multiply
    121,662x = 260,523 × 260,523
  4. Step 4: Simplify right side
    121,662x = 67,872,233,529
  5. Step 5: Solve for x
    x = 67,872,233,529/121,662
  6. Step 6: Final answer
    x = 557,875.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.