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Finding the Third Proportional to 80,746.31 and 123,944.63

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Solution

The third proportional to 80,746.31 and 123,944.63 is: 190,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,746.31 : 123,944.63 = 123,944.63 : x
  2. Step 2: Convert to fraction form
    80,746.31/123,944.63 = 123,944.63/x
  3. Step 3: Cross multiply
    80,746.31x = 123,944.63 × 123,944.63
  4. Step 4: Simplify right side
    80,746.31x = 15,362,270,066.39
  5. Step 5: Solve for x
    x = 15,362,270,066.39/80,746.31
  6. Step 6: Final answer
    x = 190,253.52

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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.