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Finding the Third Proportional to 63,069.89 and 105,112.69

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Solution

The third proportional to 63,069.89 and 105,112.69 is: 175,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,069.89 : 105,112.69 = 105,112.69 : x
  2. Step 2: Convert to fraction form
    63,069.89/105,112.69 = 105,112.69/x
  3. Step 3: Cross multiply
    63,069.89x = 105,112.69 × 105,112.69
  4. Step 4: Simplify right side
    63,069.89x = 11,048,677,073.47
  5. Step 5: Solve for x
    x = 11,048,677,073.47/63,069.89
  6. Step 6: Final answer
    x = 175,181.48

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.