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Finding the Third Proportional to 75,888.75 and 111,372.75

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Solution

The third proportional to 75,888.75 and 111,372.75 is: 163,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,888.75 : 111,372.75 = 111,372.75 : x
  2. Step 2: Convert to fraction form
    75,888.75/111,372.75 = 111,372.75/x
  3. Step 3: Cross multiply
    75,888.75x = 111,372.75 × 111,372.75
  4. Step 4: Simplify right side
    75,888.75x = 12,403,889,442.56
  5. Step 5: Solve for x
    x = 12,403,889,442.56/75,888.75
  6. Step 6: Final answer
    x = 163,448.33

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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.