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Finding the Third Proportional to 57,250 and 88,048

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Solution

The third proportional to 57,250 and 88,048 is: 135,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,250 : 88,048 = 88,048 : x
  2. Step 2: Convert to fraction form
    57,250/88,048 = 88,048/x
  3. Step 3: Cross multiply
    57,250x = 88,048 × 88,048
  4. Step 4: Simplify right side
    57,250x = 7,752,450,304
  5. Step 5: Solve for x
    x = 7,752,450,304/57,250
  6. Step 6: Final answer
    x = 135,413.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.