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Finding the Third Proportional to 74,001 and 157,233

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Solution

The third proportional to 74,001 and 157,233 is: 334,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,001 : 157,233 = 157,233 : x
  2. Step 2: Convert to fraction form
    74,001/157,233 = 157,233/x
  3. Step 3: Cross multiply
    74,001x = 157,233 × 157,233
  4. Step 4: Simplify right side
    74,001x = 24,722,216,289
  5. Step 5: Solve for x
    x = 24,722,216,289/74,001
  6. Step 6: Final answer
    x = 334,079.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.