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Finding the Third Proportional to 73,160 and 157,234.50

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Solution

The third proportional to 73,160 and 157,234.50 is: 337,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,160 : 157,234.50 = 157,234.50 : x
  2. Step 2: Convert to fraction form
    73,160/157,234.50 = 157,234.50/x
  3. Step 3: Cross multiply
    73,160x = 157,234.50 × 157,234.50
  4. Step 4: Simplify right side
    73,160x = 24,722,687,990.25
  5. Step 5: Solve for x
    x = 24,722,687,990.25/73,160
  6. Step 6: Final answer
    x = 337,926.30

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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.