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Finding the Third Proportional to 73,805 and 158,359

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Solution

The third proportional to 73,805 and 158,359 is: 339,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,805 : 158,359 = 158,359 : x
  2. Step 2: Convert to fraction form
    73,805/158,359 = 158,359/x
  3. Step 3: Cross multiply
    73,805x = 158,359 × 158,359
  4. Step 4: Simplify right side
    73,805x = 25,077,572,881
  5. Step 5: Solve for x
    x = 25,077,572,881/73,805
  6. Step 6: Final answer
    x = 339,781.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.