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Finding the Third Proportional to 45,976 and 70,288

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Solution

The third proportional to 45,976 and 70,288 is: 107,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,976 : 70,288 = 70,288 : x
  2. Step 2: Convert to fraction form
    45,976/70,288 = 70,288/x
  3. Step 3: Cross multiply
    45,976x = 70,288 × 70,288
  4. Step 4: Simplify right side
    45,976x = 4,940,402,944
  5. Step 5: Solve for x
    x = 4,940,402,944/45,976
  6. Step 6: Final answer
    x = 107,456.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.