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Finding the Third Proportional to 60,436 and 130,916

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Solution

The third proportional to 60,436 and 130,916 is: 283,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,436 : 130,916 = 130,916 : x
  2. Step 2: Convert to fraction form
    60,436/130,916 = 130,916/x
  3. Step 3: Cross multiply
    60,436x = 130,916 × 130,916
  4. Step 4: Simplify right side
    60,436x = 17,138,999,056
  5. Step 5: Solve for x
    x = 17,138,999,056/60,436
  6. Step 6: Final answer
    x = 283,589.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.