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Finding the Third Proportional to 107,008.59 and 165,923.16

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Solution

The third proportional to 107,008.59 and 165,923.16 is: 257,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,008.59 : 165,923.16 = 165,923.16 : x
  2. Step 2: Convert to fraction form
    107,008.59/165,923.16 = 165,923.16/x
  3. Step 3: Cross multiply
    107,008.59x = 165,923.16 × 165,923.16
  4. Step 4: Simplify right side
    107,008.59x = 27,530,493,779.96
  5. Step 5: Solve for x
    x = 27,530,493,779.96/107,008.59
  6. Step 6: Final answer
    x = 257,273.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.