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Finding the Third Proportional to 45,627 and 92,343

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Solution

The third proportional to 45,627 and 92,343 is: 186,889.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,627 : 92,343 = 92,343 : x
  2. Step 2: Convert to fraction form
    45,627/92,343 = 92,343/x
  3. Step 3: Cross multiply
    45,627x = 92,343 × 92,343
  4. Step 4: Simplify right side
    45,627x = 8,527,229,649
  5. Step 5: Solve for x
    x = 8,527,229,649/45,627
  6. Step 6: Final answer
    x = 186,889.99

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.