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Finding the Third Proportional to 48,051 and 110,603.25

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Solution

The third proportional to 48,051 and 110,603.25 is: 254,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,051 : 110,603.25 = 110,603.25 : x
  2. Step 2: Convert to fraction form
    48,051/110,603.25 = 110,603.25/x
  3. Step 3: Cross multiply
    48,051x = 110,603.25 × 110,603.25
  4. Step 4: Simplify right side
    48,051x = 12,233,078,910.56
  5. Step 5: Solve for x
    x = 12,233,078,910.56/48,051
  6. Step 6: Final answer
    x = 254,585.31

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.