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Finding the Third Proportional to 65,582.50 and 144,947.75

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Solution

The third proportional to 65,582.50 and 144,947.75 is: 320,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,582.50 : 144,947.75 = 144,947.75 : x
  2. Step 2: Convert to fraction form
    65,582.50/144,947.75 = 144,947.75/x
  3. Step 3: Cross multiply
    65,582.50x = 144,947.75 × 144,947.75
  4. Step 4: Simplify right side
    65,582.50x = 21,009,850,230.06
  5. Step 5: Solve for x
    x = 21,009,850,230.06/65,582.50
  6. Step 6: Final answer
    x = 320,357.57

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.