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Finding the Third Proportional to 61,625 and 133,071

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Solution

The third proportional to 61,625 and 133,071 is: 287,349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,625 : 133,071 = 133,071 : x
  2. Step 2: Convert to fraction form
    61,625/133,071 = 133,071/x
  3. Step 3: Cross multiply
    61,625x = 133,071 × 133,071
  4. Step 4: Simplify right side
    61,625x = 17,707,891,041
  5. Step 5: Solve for x
    x = 17,707,891,041/61,625
  6. Step 6: Final answer
    x = 287,349.14

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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.