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Finding the Third Proportional to 76,327.50 and 112,203.75

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Solution

The third proportional to 76,327.50 and 112,203.75 is: 164,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,327.50 : 112,203.75 = 112,203.75 : x
  2. Step 2: Convert to fraction form
    76,327.50/112,203.75 = 112,203.75/x
  3. Step 3: Cross multiply
    76,327.50x = 112,203.75 × 112,203.75
  4. Step 4: Simplify right side
    76,327.50x = 12,589,681,514.06
  5. Step 5: Solve for x
    x = 12,589,681,514.06/76,327.50
  6. Step 6: Final answer
    x = 164,942.93

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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.