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Finding the Third Proportional to 88,783 and 190,741

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Solution

The third proportional to 88,783 and 190,741 is: 409,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,783 : 190,741 = 190,741 : x
  2. Step 2: Convert to fraction form
    88,783/190,741 = 190,741/x
  3. Step 3: Cross multiply
    88,783x = 190,741 × 190,741
  4. Step 4: Simplify right side
    88,783x = 36,382,129,081
  5. Step 5: Solve for x
    x = 36,382,129,081/88,783
  6. Step 6: Final answer
    x = 409,787.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.