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Finding the Third Proportional to 113,898 and 169,905

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Solution

The third proportional to 113,898 and 169,905 is: 253,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,898 : 169,905 = 169,905 : x
  2. Step 2: Convert to fraction form
    113,898/169,905 = 169,905/x
  3. Step 3: Cross multiply
    113,898x = 169,905 × 169,905
  4. Step 4: Simplify right side
    113,898x = 28,867,709,025
  5. Step 5: Solve for x
    x = 28,867,709,025/113,898
  6. Step 6: Final answer
    x = 253,452.29

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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.