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Finding the Third Proportional to 45,940 and 70,908

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Solution

The third proportional to 45,940 and 70,908 is: 109,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,940 : 70,908 = 70,908 : x
  2. Step 2: Convert to fraction form
    45,940/70,908 = 70,908/x
  3. Step 3: Cross multiply
    45,940x = 70,908 × 70,908
  4. Step 4: Simplify right side
    45,940x = 5,027,944,464
  5. Step 5: Solve for x
    x = 5,027,944,464/45,940
  6. Step 6: Final answer
    x = 109,445.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.