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Finding the Third Proportional to 72,546.75 and 110,966.63

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Solution

The third proportional to 72,546.75 and 110,966.63 is: 169,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,546.75 : 110,966.63 = 110,966.63 : x
  2. Step 2: Convert to fraction form
    72,546.75/110,966.63 = 110,966.63/x
  3. Step 3: Cross multiply
    72,546.75x = 110,966.63 × 110,966.63
  4. Step 4: Simplify right side
    72,546.75x = 12,313,591,863.89
  5. Step 5: Solve for x
    x = 12,313,591,863.89/72,546.75
  6. Step 6: Final answer
    x = 169,733.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.