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Finding the Third Proportional to 32,252 and 68,421

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Solution

The third proportional to 32,252 and 68,421 is: 145,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,252 : 68,421 = 68,421 : x
  2. Step 2: Convert to fraction form
    32,252/68,421 = 68,421/x
  3. Step 3: Cross multiply
    32,252x = 68,421 × 68,421
  4. Step 4: Simplify right side
    32,252x = 4,681,433,241
  5. Step 5: Solve for x
    x = 4,681,433,241/32,252
  6. Step 6: Final answer
    x = 145,151.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.