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Finding the Third Proportional to 103,742 and 160,214

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Solution

The third proportional to 103,742 and 160,214 is: 247,426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,742 : 160,214 = 160,214 : x
  2. Step 2: Convert to fraction form
    103,742/160,214 = 160,214/x
  3. Step 3: Cross multiply
    103,742x = 160,214 × 160,214
  4. Step 4: Simplify right side
    103,742x = 25,668,525,796
  5. Step 5: Solve for x
    x = 25,668,525,796/103,742
  6. Step 6: Final answer
    x = 247,426.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.