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Finding the Third Proportional to 100,853 and 156,156

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Solution

The third proportional to 100,853 and 156,156 is: 241,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,853 : 156,156 = 156,156 : x
  2. Step 2: Convert to fraction form
    100,853/156,156 = 156,156/x
  3. Step 3: Cross multiply
    100,853x = 156,156 × 156,156
  4. Step 4: Simplify right side
    100,853x = 24,384,696,336
  5. Step 5: Solve for x
    x = 24,384,696,336/100,853
  6. Step 6: Final answer
    x = 241,784.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.