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Finding the Third Proportional to 60,922 and 142,348

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Solution

The third proportional to 60,922 and 142,348 is: 332,604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,922 : 142,348 = 142,348 : x
  2. Step 2: Convert to fraction form
    60,922/142,348 = 142,348/x
  3. Step 3: Cross multiply
    60,922x = 142,348 × 142,348
  4. Step 4: Simplify right side
    60,922x = 20,262,953,104
  5. Step 5: Solve for x
    x = 20,262,953,104/60,922
  6. Step 6: Final answer
    x = 332,604.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.