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Finding the Third Proportional to 86,158 and 125,894

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Solution

The third proportional to 86,158 and 125,894 is: 183,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,158 : 125,894 = 125,894 : x
  2. Step 2: Convert to fraction form
    86,158/125,894 = 125,894/x
  3. Step 3: Cross multiply
    86,158x = 125,894 × 125,894
  4. Step 4: Simplify right side
    86,158x = 15,849,299,236
  5. Step 5: Solve for x
    x = 15,849,299,236/86,158
  6. Step 6: Final answer
    x = 183,956.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.