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Finding the Third Proportional to 76,271.63 and 112,850.48

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Solution

The third proportional to 76,271.63 and 112,850.48 is: 166,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,271.63 : 112,850.48 = 112,850.48 : x
  2. Step 2: Convert to fraction form
    76,271.63/112,850.48 = 112,850.48/x
  3. Step 3: Cross multiply
    76,271.63x = 112,850.48 × 112,850.48
  4. Step 4: Simplify right side
    76,271.63x = 12,735,231,162.44
  5. Step 5: Solve for x
    x = 12,735,231,162.44/76,271.63
  6. Step 6: Final answer
    x = 166,972.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.