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Finding the Third Proportional to 75,433 and 148,940

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Solution

The third proportional to 75,433 and 148,940 is: 294,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,433 : 148,940 = 148,940 : x
  2. Step 2: Convert to fraction form
    75,433/148,940 = 148,940/x
  3. Step 3: Cross multiply
    75,433x = 148,940 × 148,940
  4. Step 4: Simplify right side
    75,433x = 22,183,123,600
  5. Step 5: Solve for x
    x = 22,183,123,600/75,433
  6. Step 6: Final answer
    x = 294,077.18

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.