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Finding the Third Proportional to 113,416 and 169,023

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Solution

The third proportional to 113,416 and 169,023 is: 251,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,416 : 169,023 = 169,023 : x
  2. Step 2: Convert to fraction form
    113,416/169,023 = 169,023/x
  3. Step 3: Cross multiply
    113,416x = 169,023 × 169,023
  4. Step 4: Simplify right side
    113,416x = 28,568,774,529
  5. Step 5: Solve for x
    x = 28,568,774,529/113,416
  6. Step 6: Final answer
    x = 251,893.69

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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.