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Finding the Third Proportional to 48,140 and 115,966

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Solution

The third proportional to 48,140 and 115,966 is: 279,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,140 : 115,966 = 115,966 : x
  2. Step 2: Convert to fraction form
    48,140/115,966 = 115,966/x
  3. Step 3: Cross multiply
    48,140x = 115,966 × 115,966
  4. Step 4: Simplify right side
    48,140x = 13,448,113,156
  5. Step 5: Solve for x
    x = 13,448,113,156/48,140
  6. Step 6: Final answer
    x = 279,354.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.