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Finding the Third Proportional to 53,659 and 84,947.75

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Solution

The third proportional to 53,659 and 84,947.75 is: 134,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,659 : 84,947.75 = 84,947.75 : x
  2. Step 2: Convert to fraction form
    53,659/84,947.75 = 84,947.75/x
  3. Step 3: Cross multiply
    53,659x = 84,947.75 × 84,947.75
  4. Step 4: Simplify right side
    53,659x = 7,216,120,230.06
  5. Step 5: Solve for x
    x = 7,216,120,230.06/53,659
  6. Step 6: Final answer
    x = 134,481.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.