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Finding the Third Proportional to 71,948 and 146,750

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Solution

The third proportional to 71,948 and 146,750 is: 299,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,948 : 146,750 = 146,750 : x
  2. Step 2: Convert to fraction form
    71,948/146,750 = 146,750/x
  3. Step 3: Cross multiply
    71,948x = 146,750 × 146,750
  4. Step 4: Simplify right side
    71,948x = 21,535,562,500
  5. Step 5: Solve for x
    x = 21,535,562,500/71,948
  6. Step 6: Final answer
    x = 299,321.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.