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Finding the Third Proportional to 60,214 and 132,345

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Solution

The third proportional to 60,214 and 132,345 is: 290,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,214 : 132,345 = 132,345 : x
  2. Step 2: Convert to fraction form
    60,214/132,345 = 132,345/x
  3. Step 3: Cross multiply
    60,214x = 132,345 × 132,345
  4. Step 4: Simplify right side
    60,214x = 17,515,199,025
  5. Step 5: Solve for x
    x = 17,515,199,025/60,214
  6. Step 6: Final answer
    x = 290,882.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.