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Finding the Third Proportional to 118,488 and 156,564

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Solution

The third proportional to 118,488 and 156,564 is: 206,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,488 : 156,564 = 156,564 : x
  2. Step 2: Convert to fraction form
    118,488/156,564 = 156,564/x
  3. Step 3: Cross multiply
    118,488x = 156,564 × 156,564
  4. Step 4: Simplify right side
    118,488x = 24,512,286,096
  5. Step 5: Solve for x
    x = 24,512,286,096/118,488
  6. Step 6: Final answer
    x = 206,875.68

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.