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Finding the Third Proportional to 113,403 and 170,982

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Solution

The third proportional to 113,403 and 170,982 is: 257,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,403 : 170,982 = 170,982 : x
  2. Step 2: Convert to fraction form
    113,403/170,982 = 170,982/x
  3. Step 3: Cross multiply
    113,403x = 170,982 × 170,982
  4. Step 4: Simplify right side
    113,403x = 29,234,844,324
  5. Step 5: Solve for x
    x = 29,234,844,324/113,403
  6. Step 6: Final answer
    x = 257,796.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.