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Finding the Third Proportional to 75,696 and 162,940

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Solution

The third proportional to 75,696 and 162,940 is: 350,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,696 : 162,940 = 162,940 : x
  2. Step 2: Convert to fraction form
    75,696/162,940 = 162,940/x
  3. Step 3: Cross multiply
    75,696x = 162,940 × 162,940
  4. Step 4: Simplify right side
    75,696x = 26,549,443,600
  5. Step 5: Solve for x
    x = 26,549,443,600/75,696
  6. Step 6: Final answer
    x = 350,737.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.