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Finding the Third Proportional to 61,363.50 and 133,815

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Solution

The third proportional to 61,363.50 and 133,815 is: 291,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,363.50 : 133,815 = 133,815 : x
  2. Step 2: Convert to fraction form
    61,363.50/133,815 = 133,815/x
  3. Step 3: Cross multiply
    61,363.50x = 133,815 × 133,815
  4. Step 4: Simplify right side
    61,363.50x = 17,906,454,225
  5. Step 5: Solve for x
    x = 17,906,454,225/61,363.50
  6. Step 6: Final answer
    x = 291,809.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.