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Finding the Third Proportional to 107,742 and 235,068

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Solution

The third proportional to 107,742 and 235,068 is: 512,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,742 : 235,068 = 235,068 : x
  2. Step 2: Convert to fraction form
    107,742/235,068 = 235,068/x
  3. Step 3: Cross multiply
    107,742x = 235,068 × 235,068
  4. Step 4: Simplify right side
    107,742x = 55,256,964,624
  5. Step 5: Solve for x
    x = 55,256,964,624/107,742
  6. Step 6: Final answer
    x = 512,863.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.