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Finding the Third Proportional to 37,776 and 88,224

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Solution

The third proportional to 37,776 and 88,224 is: 206,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,776 : 88,224 = 88,224 : x
  2. Step 2: Convert to fraction form
    37,776/88,224 = 88,224/x
  3. Step 3: Cross multiply
    37,776x = 88,224 × 88,224
  4. Step 4: Simplify right side
    37,776x = 7,783,474,176
  5. Step 5: Solve for x
    x = 7,783,474,176/37,776
  6. Step 6: Final answer
    x = 206,042.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.