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Finding the Third Proportional to 76,579.17 and 114,407.44

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Solution

The third proportional to 76,579.17 and 114,407.44 is: 170,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,579.17 : 114,407.44 = 114,407.44 : x
  2. Step 2: Convert to fraction form
    76,579.17/114,407.44 = 114,407.44/x
  3. Step 3: Cross multiply
    76,579.17x = 114,407.44 × 114,407.44
  4. Step 4: Simplify right side
    76,579.17x = 13,089,061,755.32
  5. Step 5: Solve for x
    x = 13,089,061,755.32/76,579.17
  6. Step 6: Final answer
    x = 170,921.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.