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Finding the Third Proportional to 88,034 and 189,758

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Solution

The third proportional to 88,034 and 189,758 is: 409,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,034 : 189,758 = 189,758 : x
  2. Step 2: Convert to fraction form
    88,034/189,758 = 189,758/x
  3. Step 3: Cross multiply
    88,034x = 189,758 × 189,758
  4. Step 4: Simplify right side
    88,034x = 36,008,098,564
  5. Step 5: Solve for x
    x = 36,008,098,564/88,034
  6. Step 6: Final answer
    x = 409,024.91

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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.