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Finding the Third Proportional to 35,214 and 77,340

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Solution

The third proportional to 35,214 and 77,340 is: 169,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214 : 77,340 = 77,340 : x
  2. Step 2: Convert to fraction form
    35,214/77,340 = 77,340/x
  3. Step 3: Cross multiply
    35,214x = 77,340 × 77,340
  4. Step 4: Simplify right side
    35,214x = 5,981,475,600
  5. Step 5: Solve for x
    x = 5,981,475,600/35,214
  6. Step 6: Final answer
    x = 169,860.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.