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Finding the Third Proportional to 73,813 and 108,259

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Solution

The third proportional to 73,813 and 108,259 is: 158,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,813 : 108,259 = 108,259 : x
  2. Step 2: Convert to fraction form
    73,813/108,259 = 108,259/x
  3. Step 3: Cross multiply
    73,813x = 108,259 × 108,259
  4. Step 4: Simplify right side
    73,813x = 11,720,011,081
  5. Step 5: Solve for x
    x = 11,720,011,081/73,813
  6. Step 6: Final answer
    x = 158,779.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.