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Finding the Third Proportional to 60,134 and 129,905

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Solution

The third proportional to 60,134 and 129,905 is: 280,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,134 : 129,905 = 129,905 : x
  2. Step 2: Convert to fraction form
    60,134/129,905 = 129,905/x
  3. Step 3: Cross multiply
    60,134x = 129,905 × 129,905
  4. Step 4: Simplify right side
    60,134x = 16,875,309,025
  5. Step 5: Solve for x
    x = 16,875,309,025/60,134
  6. Step 6: Final answer
    x = 280,628.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.