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Finding the Third Proportional to 69,589.13 and 105,031.69

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Solution

The third proportional to 69,589.13 and 105,031.69 is: 158,525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,589.13 : 105,031.69 = 105,031.69 : x
  2. Step 2: Convert to fraction form
    69,589.13/105,031.69 = 105,031.69/x
  3. Step 3: Cross multiply
    69,589.13x = 105,031.69 × 105,031.69
  4. Step 4: Simplify right side
    69,589.13x = 11,031,655,379.10
  5. Step 5: Solve for x
    x = 11,031,655,379.10/69,589.13
  6. Step 6: Final answer
    x = 158,525.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.