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Finding the Third Proportional to 61,144.88 and 133,498.13

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Solution

The third proportional to 61,144.88 and 133,498.13 is: 291,467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,144.88 : 133,498.13 = 133,498.13 : x
  2. Step 2: Convert to fraction form
    61,144.88/133,498.13 = 133,498.13/x
  3. Step 3: Cross multiply
    61,144.88x = 133,498.13 × 133,498.13
  4. Step 4: Simplify right side
    61,144.88x = 17,821,749,378.52
  5. Step 5: Solve for x
    x = 17,821,749,378.52/61,144.88
  6. Step 6: Final answer
    x = 291,467.59

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