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Finding the Third Proportional to 131,292 and 185,789.25

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Solution

The third proportional to 131,292 and 185,789.25 is: 262,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,292 : 185,789.25 = 185,789.25 : x
  2. Step 2: Convert to fraction form
    131,292/185,789.25 = 185,789.25/x
  3. Step 3: Cross multiply
    131,292x = 185,789.25 × 185,789.25
  4. Step 4: Simplify right side
    131,292x = 34,517,645,415.56
  5. Step 5: Solve for x
    x = 34,517,645,415.56/131,292
  6. Step 6: Final answer
    x = 262,907.45

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.