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Finding the Third Proportional to 53,282.25 and 88,791.75

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Solution

The third proportional to 53,282.25 and 88,791.75 is: 147,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,282.25 : 88,791.75 = 88,791.75 : x
  2. Step 2: Convert to fraction form
    53,282.25/88,791.75 = 88,791.75/x
  3. Step 3: Cross multiply
    53,282.25x = 88,791.75 × 88,791.75
  4. Step 4: Simplify right side
    53,282.25x = 7,883,974,868.06
  5. Step 5: Solve for x
    x = 7,883,974,868.06/53,282.25
  6. Step 6: Final answer
    x = 147,966.25

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.