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Finding the Third Proportional to 73,045.13 and 109,277.44

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Solution

The third proportional to 73,045.13 and 109,277.44 is: 163,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,045.13 : 109,277.44 = 109,277.44 : x
  2. Step 2: Convert to fraction form
    73,045.13/109,277.44 = 109,277.44/x
  3. Step 3: Cross multiply
    73,045.13x = 109,277.44 × 109,277.44
  4. Step 4: Simplify right side
    73,045.13x = 11,941,558,346.57
  5. Step 5: Solve for x
    x = 11,941,558,346.57/73,045.13
  6. Step 6: Final answer
    x = 163,481.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.