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Finding the Third Proportional to 45,350 and 70,393

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Solution

The third proportional to 45,350 and 70,393 is: 109,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,350 : 70,393 = 70,393 : x
  2. Step 2: Convert to fraction form
    45,350/70,393 = 70,393/x
  3. Step 3: Cross multiply
    45,350x = 70,393 × 70,393
  4. Step 4: Simplify right side
    45,350x = 4,955,174,449
  5. Step 5: Solve for x
    x = 4,955,174,449/45,350
  6. Step 6: Final answer
    x = 109,265.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.