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Finding the Third Proportional to 57,867.75 and 86,802.75

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Solution

The third proportional to 57,867.75 and 86,802.75 is: 130,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,867.75 : 86,802.75 = 86,802.75 : x
  2. Step 2: Convert to fraction form
    57,867.75/86,802.75 = 86,802.75/x
  3. Step 3: Cross multiply
    57,867.75x = 86,802.75 × 86,802.75
  4. Step 4: Simplify right side
    57,867.75x = 7,534,717,407.56
  5. Step 5: Solve for x
    x = 7,534,717,407.56/57,867.75
  6. Step 6: Final answer
    x = 130,205.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.