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Finding the Third Proportional to 88,500 and 191,074

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Solution

The third proportional to 88,500 and 191,074 is: 412,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,500 : 191,074 = 191,074 : x
  2. Step 2: Convert to fraction form
    88,500/191,074 = 191,074/x
  3. Step 3: Cross multiply
    88,500x = 191,074 × 191,074
  4. Step 4: Simplify right side
    88,500x = 36,509,273,476
  5. Step 5: Solve for x
    x = 36,509,273,476/88,500
  6. Step 6: Final answer
    x = 412,534.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.