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Finding the Third Proportional to 73,250 and 157,876

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Solution

The third proportional to 73,250 and 157,876 is: 340,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,250 : 157,876 = 157,876 : x
  2. Step 2: Convert to fraction form
    73,250/157,876 = 157,876/x
  3. Step 3: Cross multiply
    73,250x = 157,876 × 157,876
  4. Step 4: Simplify right side
    73,250x = 24,924,831,376
  5. Step 5: Solve for x
    x = 24,924,831,376/73,250
  6. Step 6: Final answer
    x = 340,270.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.