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Finding the Third Proportional to 106,002.75 and 161,908.50

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Solution

The third proportional to 106,002.75 and 161,908.50 is: 247,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,002.75 : 161,908.50 = 161,908.50 : x
  2. Step 2: Convert to fraction form
    106,002.75/161,908.50 = 161,908.50/x
  3. Step 3: Cross multiply
    106,002.75x = 161,908.50 × 161,908.50
  4. Step 4: Simplify right side
    106,002.75x = 26,214,362,372.25
  5. Step 5: Solve for x
    x = 26,214,362,372.25/106,002.75
  6. Step 6: Final answer
    x = 247,298.89

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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.