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Finding the Third Proportional to 76,340 and 112,296

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Solution

The third proportional to 76,340 and 112,296 is: 165,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,340 : 112,296 = 112,296 : x
  2. Step 2: Convert to fraction form
    76,340/112,296 = 112,296/x
  3. Step 3: Cross multiply
    76,340x = 112,296 × 112,296
  4. Step 4: Simplify right side
    76,340x = 12,610,391,616
  5. Step 5: Solve for x
    x = 12,610,391,616/76,340
  6. Step 6: Final answer
    x = 165,187.21

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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.