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Finding the Third Proportional to 60,868 and 130,328

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Solution

The third proportional to 60,868 and 130,328 is: 279,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,868 : 130,328 = 130,328 : x
  2. Step 2: Convert to fraction form
    60,868/130,328 = 130,328/x
  3. Step 3: Cross multiply
    60,868x = 130,328 × 130,328
  4. Step 4: Simplify right side
    60,868x = 16,985,387,584
  5. Step 5: Solve for x
    x = 16,985,387,584/60,868
  6. Step 6: Final answer
    x = 279,052.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.