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Finding the Third Proportional to 112,221 and 187,015.50

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Solution

The third proportional to 112,221 and 187,015.50 is: 311,660.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,221 : 187,015.50 = 187,015.50 : x
  2. Step 2: Convert to fraction form
    112,221/187,015.50 = 187,015.50/x
  3. Step 3: Cross multiply
    112,221x = 187,015.50 × 187,015.50
  4. Step 4: Simplify right side
    112,221x = 34,974,797,240.25
  5. Step 5: Solve for x
    x = 34,974,797,240.25/112,221
  6. Step 6: Final answer
    x = 311,660.00

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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.