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Finding the Third Proportional to 88,004 and 189,277

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Solution

The third proportional to 88,004 and 189,277 is: 407,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,004 : 189,277 = 189,277 : x
  2. Step 2: Convert to fraction form
    88,004/189,277 = 189,277/x
  3. Step 3: Cross multiply
    88,004x = 189,277 × 189,277
  4. Step 4: Simplify right side
    88,004x = 35,825,782,729
  5. Step 5: Solve for x
    x = 35,825,782,729/88,004
  6. Step 6: Final answer
    x = 407,092.66

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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.