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Finding the Third Proportional to 115,884 and 155,214

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Solution

The third proportional to 115,884 and 155,214 is: 207,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,884 : 155,214 = 155,214 : x
  2. Step 2: Convert to fraction form
    115,884/155,214 = 155,214/x
  3. Step 3: Cross multiply
    115,884x = 155,214 × 155,214
  4. Step 4: Simplify right side
    115,884x = 24,091,385,796
  5. Step 5: Solve for x
    x = 24,091,385,796/115,884
  6. Step 6: Final answer
    x = 207,892.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.