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Finding the Third Proportional to 72,709 and 154,208

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Solution

The third proportional to 72,709 and 154,208 is: 327,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709 : 154,208 = 154,208 : x
  2. Step 2: Convert to fraction form
    72,709/154,208 = 154,208/x
  3. Step 3: Cross multiply
    72,709x = 154,208 × 154,208
  4. Step 4: Simplify right side
    72,709x = 23,780,107,264
  5. Step 5: Solve for x
    x = 23,780,107,264/72,709
  6. Step 6: Final answer
    x = 327,058.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.