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Finding the Third Proportional to 73,112 and 157,312

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Solution

The third proportional to 73,112 and 157,312 is: 338,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,112 : 157,312 = 157,312 : x
  2. Step 2: Convert to fraction form
    73,112/157,312 = 157,312/x
  3. Step 3: Cross multiply
    73,112x = 157,312 × 157,312
  4. Step 4: Simplify right side
    73,112x = 24,747,065,344
  5. Step 5: Solve for x
    x = 24,747,065,344/73,112
  6. Step 6: Final answer
    x = 338,481.58

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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.