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Finding the Third Proportional to 86,894 and 189,754

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Solution

The third proportional to 86,894 and 189,754 is: 414,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,894 : 189,754 = 189,754 : x
  2. Step 2: Convert to fraction form
    86,894/189,754 = 189,754/x
  3. Step 3: Cross multiply
    86,894x = 189,754 × 189,754
  4. Step 4: Simplify right side
    86,894x = 36,006,580,516
  5. Step 5: Solve for x
    x = 36,006,580,516/86,894
  6. Step 6: Final answer
    x = 414,373.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.