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Finding the Third Proportional to 70,274 and 156,132

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Solution

The third proportional to 70,274 and 156,132 is: 346,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,274 : 156,132 = 156,132 : x
  2. Step 2: Convert to fraction form
    70,274/156,132 = 156,132/x
  3. Step 3: Cross multiply
    70,274x = 156,132 × 156,132
  4. Step 4: Simplify right side
    70,274x = 24,377,201,424
  5. Step 5: Solve for x
    x = 24,377,201,424/70,274
  6. Step 6: Final answer
    x = 346,887.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.