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Finding the Third Proportional to 67,352 and 146,352

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Solution

The third proportional to 67,352 and 146,352 is: 318,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,352 : 146,352 = 146,352 : x
  2. Step 2: Convert to fraction form
    67,352/146,352 = 146,352/x
  3. Step 3: Cross multiply
    67,352x = 146,352 × 146,352
  4. Step 4: Simplify right side
    67,352x = 21,418,907,904
  5. Step 5: Solve for x
    x = 21,418,907,904/67,352
  6. Step 6: Final answer
    x = 318,014.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.