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Finding the Third Proportional to 29,301 and 60,677

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Solution

The third proportional to 29,301 and 60,677 is: 125,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,301 : 60,677 = 60,677 : x
  2. Step 2: Convert to fraction form
    29,301/60,677 = 60,677/x
  3. Step 3: Cross multiply
    29,301x = 60,677 × 60,677
  4. Step 4: Simplify right side
    29,301x = 3,681,698,329
  5. Step 5: Solve for x
    x = 3,681,698,329/29,301
  6. Step 6: Final answer
    x = 125,650.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.