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Finding the Third Proportional to 32,272 and 68,461

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Solution

The third proportional to 32,272 and 68,461 is: 145,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,272 : 68,461 = 68,461 : x
  2. Step 2: Convert to fraction form
    32,272/68,461 = 68,461/x
  3. Step 3: Cross multiply
    32,272x = 68,461 × 68,461
  4. Step 4: Simplify right side
    32,272x = 4,686,908,521
  5. Step 5: Solve for x
    x = 4,686,908,521/32,272
  6. Step 6: Final answer
    x = 145,231.42

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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.