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Finding the Third Proportional to 49,662 and 117,130

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Solution

The third proportional to 49,662 and 117,130 is: 276,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,662 : 117,130 = 117,130 : x
  2. Step 2: Convert to fraction form
    49,662/117,130 = 117,130/x
  3. Step 3: Cross multiply
    49,662x = 117,130 × 117,130
  4. Step 4: Simplify right side
    49,662x = 13,719,436,900
  5. Step 5: Solve for x
    x = 13,719,436,900/49,662
  6. Step 6: Final answer
    x = 276,256.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.