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Finding the Third Proportional to 86,454 and 126,564

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Solution

The third proportional to 86,454 and 126,564 is: 185,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,454 : 126,564 = 126,564 : x
  2. Step 2: Convert to fraction form
    86,454/126,564 = 126,564/x
  3. Step 3: Cross multiply
    86,454x = 126,564 × 126,564
  4. Step 4: Simplify right side
    86,454x = 16,018,446,096
  5. Step 5: Solve for x
    x = 16,018,446,096/86,454
  6. Step 6: Final answer
    x = 185,282.88

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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.