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Finding the Third Proportional to 86,426 and 187,606

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Solution

The third proportional to 86,426 and 187,606 is: 407,238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,426 : 187,606 = 187,606 : x
  2. Step 2: Convert to fraction form
    86,426/187,606 = 187,606/x
  3. Step 3: Cross multiply
    86,426x = 187,606 × 187,606
  4. Step 4: Simplify right side
    86,426x = 35,196,011,236
  5. Step 5: Solve for x
    x = 35,196,011,236/86,426
  6. Step 6: Final answer
    x = 407,238.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.