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Finding the Third Proportional to 45,649 and 92,553

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Solution

The third proportional to 45,649 and 92,553 is: 187,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,649 : 92,553 = 92,553 : x
  2. Step 2: Convert to fraction form
    45,649/92,553 = 92,553/x
  3. Step 3: Cross multiply
    45,649x = 92,553 × 92,553
  4. Step 4: Simplify right side
    45,649x = 8,566,057,809
  5. Step 5: Solve for x
    x = 8,566,057,809/45,649
  6. Step 6: Final answer
    x = 187,650.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.