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Finding the Third Proportional to 131,060 and 179,346

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Solution

The third proportional to 131,060 and 179,346 is: 245,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,060 : 179,346 = 179,346 : x
  2. Step 2: Convert to fraction form
    131,060/179,346 = 179,346/x
  3. Step 3: Cross multiply
    131,060x = 179,346 × 179,346
  4. Step 4: Simplify right side
    131,060x = 32,164,987,716
  5. Step 5: Solve for x
    x = 32,164,987,716/131,060
  6. Step 6: Final answer
    x = 245,421.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.