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Finding the Third Proportional to 72,177 and 160,758

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Solution

The third proportional to 72,177 and 160,758 is: 358,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,177 : 160,758 = 160,758 : x
  2. Step 2: Convert to fraction form
    72,177/160,758 = 160,758/x
  3. Step 3: Cross multiply
    72,177x = 160,758 × 160,758
  4. Step 4: Simplify right side
    72,177x = 25,843,134,564
  5. Step 5: Solve for x
    x = 25,843,134,564/72,177
  6. Step 6: Final answer
    x = 358,052.21

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.