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Finding the Third Proportional to 45,542 and 70,195

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Solution

The third proportional to 45,542 and 70,195 is: 108,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,542 : 70,195 = 70,195 : x
  2. Step 2: Convert to fraction form
    45,542/70,195 = 70,195/x
  3. Step 3: Cross multiply
    45,542x = 70,195 × 70,195
  4. Step 4: Simplify right side
    45,542x = 4,927,338,025
  5. Step 5: Solve for x
    x = 4,927,338,025/45,542
  6. Step 6: Final answer
    x = 108,193.27

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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.