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Finding the Third Proportional to 104,002.31 and 148,619.81

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Solution

The third proportional to 104,002.31 and 148,619.81 is: 212,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,002.31 : 148,619.81 = 148,619.81 : x
  2. Step 2: Convert to fraction form
    104,002.31/148,619.81 = 148,619.81/x
  3. Step 3: Cross multiply
    104,002.31x = 148,619.81 × 148,619.81
  4. Step 4: Simplify right side
    104,002.31x = 22,087,848,667.54
  5. Step 5: Solve for x
    x = 22,087,848,667.54/104,002.31
  6. Step 6: Final answer
    x = 212,378.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.