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Finding the Third Proportional to 71,292 and 154,726

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Solution

The third proportional to 71,292 and 154,726 is: 335,803.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,292 : 154,726 = 154,726 : x
  2. Step 2: Convert to fraction form
    71,292/154,726 = 154,726/x
  3. Step 3: Cross multiply
    71,292x = 154,726 × 154,726
  4. Step 4: Simplify right side
    71,292x = 23,940,135,076
  5. Step 5: Solve for x
    x = 23,940,135,076/71,292
  6. Step 6: Final answer
    x = 335,803.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.