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Finding the Third Proportional to 35,456 and 75,520

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Solution

The third proportional to 35,456 and 75,520 is: 160,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,456 : 75,520 = 75,520 : x
  2. Step 2: Convert to fraction form
    35,456/75,520 = 75,520/x
  3. Step 3: Cross multiply
    35,456x = 75,520 × 75,520
  4. Step 4: Simplify right side
    35,456x = 5,703,270,400
  5. Step 5: Solve for x
    x = 5,703,270,400/35,456
  6. Step 6: Final answer
    x = 160,854.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.