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Finding the Third Proportional to 32,294 and 68,502

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Solution

The third proportional to 32,294 and 68,502 is: 145,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,294 : 68,502 = 68,502 : x
  2. Step 2: Convert to fraction form
    32,294/68,502 = 68,502/x
  3. Step 3: Cross multiply
    32,294x = 68,502 × 68,502
  4. Step 4: Simplify right side
    32,294x = 4,692,524,004
  5. Step 5: Solve for x
    x = 4,692,524,004/32,294
  6. Step 6: Final answer
    x = 145,306.37

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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.