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Finding the Third Proportional to 113,680 and 169,817

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Solution

The third proportional to 113,680 and 169,817 is: 253,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,680 : 169,817 = 169,817 : x
  2. Step 2: Convert to fraction form
    113,680/169,817 = 169,817/x
  3. Step 3: Cross multiply
    113,680x = 169,817 × 169,817
  4. Step 4: Simplify right side
    113,680x = 28,837,813,489
  5. Step 5: Solve for x
    x = 28,837,813,489/113,680
  6. Step 6: Final answer
    x = 253,675.35

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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.