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Finding the Third Proportional to 73,549 and 113,649

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Solution

The third proportional to 73,549 and 113,649 is: 175,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,549 : 113,649 = 113,649 : x
  2. Step 2: Convert to fraction form
    73,549/113,649 = 113,649/x
  3. Step 3: Cross multiply
    73,549x = 113,649 × 113,649
  4. Step 4: Simplify right side
    73,549x = 12,916,095,201
  5. Step 5: Solve for x
    x = 12,916,095,201/73,549
  6. Step 6: Final answer
    x = 175,612.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.