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Finding the Third Proportional to 70,498.69 and 110,759.91

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Solution

The third proportional to 70,498.69 and 110,759.91 is: 174,013.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,498.69 : 110,759.91 = 110,759.91 : x
  2. Step 2: Convert to fraction form
    70,498.69/110,759.91 = 110,759.91/x
  3. Step 3: Cross multiply
    70,498.69x = 110,759.91 × 110,759.91
  4. Step 4: Simplify right side
    70,498.69x = 12,267,756,832.51
  5. Step 5: Solve for x
    x = 12,267,756,832.51/70,498.69
  6. Step 6: Final answer
    x = 174,013.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.