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Finding the Third Proportional to 125,632 and 179,834

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Solution

The third proportional to 125,632 and 179,834 is: 257,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,632 : 179,834 = 179,834 : x
  2. Step 2: Convert to fraction form
    125,632/179,834 = 179,834/x
  3. Step 3: Cross multiply
    125,632x = 179,834 × 179,834
  4. Step 4: Simplify right side
    125,632x = 32,340,267,556
  5. Step 5: Solve for x
    x = 32,340,267,556/125,632
  6. Step 6: Final answer
    x = 257,420.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.