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Finding the Third Proportional to 33,113 and 64,561

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Solution

The third proportional to 33,113 and 64,561 is: 125,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,113 : 64,561 = 64,561 : x
  2. Step 2: Convert to fraction form
    33,113/64,561 = 64,561/x
  3. Step 3: Cross multiply
    33,113x = 64,561 × 64,561
  4. Step 4: Simplify right side
    33,113x = 4,168,122,721
  5. Step 5: Solve for x
    x = 4,168,122,721/33,113
  6. Step 6: Final answer
    x = 125,875.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.