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Finding the Third Proportional to 113,418 and 169,026

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Solution

The third proportional to 113,418 and 169,026 is: 251,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,418 : 169,026 = 169,026 : x
  2. Step 2: Convert to fraction form
    113,418/169,026 = 169,026/x
  3. Step 3: Cross multiply
    113,418x = 169,026 × 169,026
  4. Step 4: Simplify right side
    113,418x = 28,569,788,676
  5. Step 5: Solve for x
    x = 28,569,788,676/113,418
  6. Step 6: Final answer
    x = 251,898.19

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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.