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Finding the Third Proportional to 60,844 and 130,742

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Solution

The third proportional to 60,844 and 130,742 is: 280,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,844 : 130,742 = 130,742 : x
  2. Step 2: Convert to fraction form
    60,844/130,742 = 130,742/x
  3. Step 3: Cross multiply
    60,844x = 130,742 × 130,742
  4. Step 4: Simplify right side
    60,844x = 17,093,470,564
  5. Step 5: Solve for x
    x = 17,093,470,564/60,844
  6. Step 6: Final answer
    x = 280,939.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.