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Finding the Third Proportional to 48,960 and 107,046

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Solution

The third proportional to 48,960 and 107,046 is: 234,045.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,960 : 107,046 = 107,046 : x
  2. Step 2: Convert to fraction form
    48,960/107,046 = 107,046/x
  3. Step 3: Cross multiply
    48,960x = 107,046 × 107,046
  4. Step 4: Simplify right side
    48,960x = 11,458,846,116
  5. Step 5: Solve for x
    x = 11,458,846,116/48,960
  6. Step 6: Final answer
    x = 234,045.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.