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Finding the Third Proportional to 61,982.25 and 133,803

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Solution

The third proportional to 61,982.25 and 133,803 is: 288,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,982.25 : 133,803 = 133,803 : x
  2. Step 2: Convert to fraction form
    61,982.25/133,803 = 133,803/x
  3. Step 3: Cross multiply
    61,982.25x = 133,803 × 133,803
  4. Step 4: Simplify right side
    61,982.25x = 17,903,242,809
  5. Step 5: Solve for x
    x = 17,903,242,809/61,982.25
  6. Step 6: Final answer
    x = 288,844.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.