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Finding the Third Proportional to 65,540 and 154,058

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Solution

The third proportional to 65,540 and 154,058 is: 362,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,540 : 154,058 = 154,058 : x
  2. Step 2: Convert to fraction form
    65,540/154,058 = 154,058/x
  3. Step 3: Cross multiply
    65,540x = 154,058 × 154,058
  4. Step 4: Simplify right side
    65,540x = 23,733,867,364
  5. Step 5: Solve for x
    x = 23,733,867,364/65,540
  6. Step 6: Final answer
    x = 362,127.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.