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Finding the Third Proportional to 121,648.50 and 187,086.38

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Solution

The third proportional to 121,648.50 and 187,086.38 is: 287,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,648.50 : 187,086.38 = 187,086.38 : x
  2. Step 2: Convert to fraction form
    121,648.50/187,086.38 = 187,086.38/x
  3. Step 3: Cross multiply
    121,648.50x = 187,086.38 × 187,086.38
  4. Step 4: Simplify right side
    121,648.50x = 35,001,311,710.64
  5. Step 5: Solve for x
    x = 35,001,311,710.64/121,648.50
  6. Step 6: Final answer
    x = 287,724.98

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