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Finding the Third Proportional to 29,304 and 64,122

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Solution

The third proportional to 29,304 and 64,122 is: 140,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,304 : 64,122 = 64,122 : x
  2. Step 2: Convert to fraction form
    29,304/64,122 = 64,122/x
  3. Step 3: Cross multiply
    29,304x = 64,122 × 64,122
  4. Step 4: Simplify right side
    29,304x = 4,111,630,884
  5. Step 5: Solve for x
    x = 4,111,630,884/29,304
  6. Step 6: Final answer
    x = 140,309.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.