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Finding the Third Proportional to 75,214 and 160,434

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Solution

The third proportional to 75,214 and 160,434 is: 342,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,214 : 160,434 = 160,434 : x
  2. Step 2: Convert to fraction form
    75,214/160,434 = 160,434/x
  3. Step 3: Cross multiply
    75,214x = 160,434 × 160,434
  4. Step 4: Simplify right side
    75,214x = 25,739,068,356
  5. Step 5: Solve for x
    x = 25,739,068,356/75,214
  6. Step 6: Final answer
    x = 342,211.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.