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Finding the Third Proportional to 79,125 and 105,698.25

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Solution

The third proportional to 79,125 and 105,698.25 is: 141,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,125 : 105,698.25 = 105,698.25 : x
  2. Step 2: Convert to fraction form
    79,125/105,698.25 = 105,698.25/x
  3. Step 3: Cross multiply
    79,125x = 105,698.25 × 105,698.25
  4. Step 4: Simplify right side
    79,125x = 11,172,120,053.06
  5. Step 5: Solve for x
    x = 11,172,120,053.06/79,125
  6. Step 6: Final answer
    x = 141,195.83

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.