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Finding the Third Proportional to 69,061.36 and 105,112.69

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Solution

The third proportional to 69,061.36 and 105,112.69 is: 159,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,061.36 : 105,112.69 = 105,112.69 : x
  2. Step 2: Convert to fraction form
    69,061.36/105,112.69 = 105,112.69/x
  3. Step 3: Cross multiply
    69,061.36x = 105,112.69 × 105,112.69
  4. Step 4: Simplify right side
    69,061.36x = 11,048,677,073.47
  5. Step 5: Solve for x
    x = 11,048,677,073.47/69,061.36
  6. Step 6: Final answer
    x = 159,983.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.