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Finding the Third Proportional to 56,365.50 and 133,299

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Solution

The third proportional to 56,365.50 and 133,299 is: 315,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,365.50 : 133,299 = 133,299 : x
  2. Step 2: Convert to fraction form
    56,365.50/133,299 = 133,299/x
  3. Step 3: Cross multiply
    56,365.50x = 133,299 × 133,299
  4. Step 4: Simplify right side
    56,365.50x = 17,768,623,401
  5. Step 5: Solve for x
    x = 17,768,623,401/56,365.50
  6. Step 6: Final answer
    x = 315,239.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.