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Finding the Third Proportional to 74,856 and 113,059.50

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Solution

The third proportional to 74,856 and 113,059.50 is: 170,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,856 : 113,059.50 = 113,059.50 : x
  2. Step 2: Convert to fraction form
    74,856/113,059.50 = 113,059.50/x
  3. Step 3: Cross multiply
    74,856x = 113,059.50 × 113,059.50
  4. Step 4: Simplify right side
    74,856x = 12,782,450,540.25
  5. Step 5: Solve for x
    x = 12,782,450,540.25/74,856
  6. Step 6: Final answer
    x = 170,760.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.