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Finding the Third Proportional to 60,929 and 133,629

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Solution

The third proportional to 60,929 and 133,629 is: 293,074.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,929 : 133,629 = 133,629 : x
  2. Step 2: Convert to fraction form
    60,929/133,629 = 133,629/x
  3. Step 3: Cross multiply
    60,929x = 133,629 × 133,629
  4. Step 4: Simplify right side
    60,929x = 17,856,709,641
  5. Step 5: Solve for x
    x = 17,856,709,641/60,929
  6. Step 6: Final answer
    x = 293,074.06

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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.