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Finding the Third Proportional to 61,704 and 117,029

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Solution

The third proportional to 61,704 and 117,029 is: 221,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,704 : 117,029 = 117,029 : x
  2. Step 2: Convert to fraction form
    61,704/117,029 = 117,029/x
  3. Step 3: Cross multiply
    61,704x = 117,029 × 117,029
  4. Step 4: Simplify right side
    61,704x = 13,695,786,841
  5. Step 5: Solve for x
    x = 13,695,786,841/61,704
  6. Step 6: Final answer
    x = 221,959.47

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.