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Finding the Third Proportional to 113,943 and 169,983

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Solution

The third proportional to 113,943 and 169,983 is: 253,584.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,943 : 169,983 = 169,983 : x
  2. Step 2: Convert to fraction form
    113,943/169,983 = 169,983/x
  3. Step 3: Cross multiply
    113,943x = 169,983 × 169,983
  4. Step 4: Simplify right side
    113,943x = 28,894,220,289
  5. Step 5: Solve for x
    x = 28,894,220,289/113,943
  6. Step 6: Final answer
    x = 253,584.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.