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Finding the Third Proportional to 69,572.81 and 105,686.72

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Solution

The third proportional to 69,572.81 and 105,686.72 is: 160,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,572.81 : 105,686.72 = 105,686.72 : x
  2. Step 2: Convert to fraction form
    69,572.81/105,686.72 = 105,686.72/x
  3. Step 3: Cross multiply
    69,572.81x = 105,686.72 × 105,686.72
  4. Step 4: Simplify right side
    69,572.81x = 11,169,682,520.14
  5. Step 5: Solve for x
    x = 11,169,682,520.14/69,572.81
  6. Step 6: Final answer
    x = 160,546.66

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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.