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Finding the Third Proportional to 73,206 and 109,323

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Solution

The third proportional to 73,206 and 109,323 is: 163,258.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,206 : 109,323 = 109,323 : x
  2. Step 2: Convert to fraction form
    73,206/109,323 = 109,323/x
  3. Step 3: Cross multiply
    73,206x = 109,323 × 109,323
  4. Step 4: Simplify right side
    73,206x = 11,951,518,329
  5. Step 5: Solve for x
    x = 11,951,518,329/73,206
  6. Step 6: Final answer
    x = 163,258.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.