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Finding the Third Proportional to 118,373 and 159,486

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Solution

The third proportional to 118,373 and 159,486 is: 214,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,373 : 159,486 = 159,486 : x
  2. Step 2: Convert to fraction form
    118,373/159,486 = 159,486/x
  3. Step 3: Cross multiply
    118,373x = 159,486 × 159,486
  4. Step 4: Simplify right side
    118,373x = 25,435,784,196
  5. Step 5: Solve for x
    x = 25,435,784,196/118,373
  6. Step 6: Final answer
    x = 214,878.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.