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Finding the Third Proportional to 48,465.75 and 105,932.25

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Solution

The third proportional to 48,465.75 and 105,932.25 is: 231,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,465.75 : 105,932.25 = 105,932.25 : x
  2. Step 2: Convert to fraction form
    48,465.75/105,932.25 = 105,932.25/x
  3. Step 3: Cross multiply
    48,465.75x = 105,932.25 × 105,932.25
  4. Step 4: Simplify right side
    48,465.75x = 11,221,641,590.06
  5. Step 5: Solve for x
    x = 11,221,641,590.06/48,465.75
  6. Step 6: Final answer
    x = 231,537.56

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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.