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Finding the Third Proportional to 32,461 and 69,107

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Solution

The third proportional to 32,461 and 69,107 is: 147,123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,461 : 69,107 = 69,107 : x
  2. Step 2: Convert to fraction form
    32,461/69,107 = 69,107/x
  3. Step 3: Cross multiply
    32,461x = 69,107 × 69,107
  4. Step 4: Simplify right side
    32,461x = 4,775,777,449
  5. Step 5: Solve for x
    x = 4,775,777,449/32,461
  6. Step 6: Final answer
    x = 147,123.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.