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Finding the Third Proportional to 74,868.75 and 112,608

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Solution

The third proportional to 74,868.75 and 112,608 is: 169,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,868.75 : 112,608 = 112,608 : x
  2. Step 2: Convert to fraction form
    74,868.75/112,608 = 112,608/x
  3. Step 3: Cross multiply
    74,868.75x = 112,608 × 112,608
  4. Step 4: Simplify right side
    74,868.75x = 12,680,561,664
  5. Step 5: Solve for x
    x = 12,680,561,664/74,868.75
  6. Step 6: Final answer
    x = 169,370.55

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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.