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Finding the Third Proportional to 48,967 and 114,964

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Solution

The third proportional to 48,967 and 114,964 is: 269,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,967 : 114,964 = 114,964 : x
  2. Step 2: Convert to fraction form
    48,967/114,964 = 114,964/x
  3. Step 3: Cross multiply
    48,967x = 114,964 × 114,964
  4. Step 4: Simplify right side
    48,967x = 13,216,721,296
  5. Step 5: Solve for x
    x = 13,216,721,296/48,967
  6. Step 6: Final answer
    x = 269,910.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.