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Finding the Third Proportional to 63,098.37 and 134,944.73

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Solution

The third proportional to 63,098.37 and 134,944.73 is: 288,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,098.37 : 134,944.73 = 134,944.73 : x
  2. Step 2: Convert to fraction form
    63,098.37/134,944.73 = 134,944.73/x
  3. Step 3: Cross multiply
    63,098.37x = 134,944.73 × 134,944.73
  4. Step 4: Simplify right side
    63,098.37x = 18,210,081,335.54
  5. Step 5: Solve for x
    x = 18,210,081,335.54/63,098.37
  6. Step 6: Final answer
    x = 288,598.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.