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Finding the Third Proportional to 103,709 and 151,027

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Solution

The third proportional to 103,709 and 151,027 is: 219,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,709 : 151,027 = 151,027 : x
  2. Step 2: Convert to fraction form
    103,709/151,027 = 151,027/x
  3. Step 3: Cross multiply
    103,709x = 151,027 × 151,027
  4. Step 4: Simplify right side
    103,709x = 22,809,154,729
  5. Step 5: Solve for x
    x = 22,809,154,729/103,709
  6. Step 6: Final answer
    x = 219,934.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.