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Finding the Third Proportional to 29,309 and 64,233

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Solution

The third proportional to 29,309 and 64,233 is: 140,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,309 : 64,233 = 64,233 : x
  2. Step 2: Convert to fraction form
    29,309/64,233 = 64,233/x
  3. Step 3: Cross multiply
    29,309x = 64,233 × 64,233
  4. Step 4: Simplify right side
    29,309x = 4,125,878,289
  5. Step 5: Solve for x
    x = 4,125,878,289/29,309
  6. Step 6: Final answer
    x = 140,771.72

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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.