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Finding the Third Proportional to 86,018 and 126,497

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Solution

The third proportional to 86,018 and 126,497 is: 186,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,018 : 126,497 = 126,497 : x
  2. Step 2: Convert to fraction form
    86,018/126,497 = 126,497/x
  3. Step 3: Cross multiply
    86,018x = 126,497 × 126,497
  4. Step 4: Simplify right side
    86,018x = 16,001,491,009
  5. Step 5: Solve for x
    x = 16,001,491,009/86,018
  6. Step 6: Final answer
    x = 186,024.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.