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Finding the Third Proportional to 76,336.88 and 112,224.38

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Solution

The third proportional to 76,336.88 and 112,224.38 is: 164,983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,336.88 : 112,224.38 = 112,224.38 : x
  2. Step 2: Convert to fraction form
    76,336.88/112,224.38 = 112,224.38/x
  3. Step 3: Cross multiply
    76,336.88x = 112,224.38 × 112,224.38
  4. Step 4: Simplify right side
    76,336.88x = 12,594,310,344.14
  5. Step 5: Solve for x
    x = 12,594,310,344.14/76,336.88
  6. Step 6: Final answer
    x = 164,983.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.