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Finding the Third Proportional to 113,636 and 169,806

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Solution

The third proportional to 113,636 and 169,806 is: 253,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,636 : 169,806 = 169,806 : x
  2. Step 2: Convert to fraction form
    113,636/169,806 = 169,806/x
  3. Step 3: Cross multiply
    113,636x = 169,806 × 169,806
  4. Step 4: Simplify right side
    113,636x = 28,834,077,636
  5. Step 5: Solve for x
    x = 28,834,077,636/113,636
  6. Step 6: Final answer
    x = 253,740.70

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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.