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Finding the Third Proportional to 65,931 and 102,177

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Solution

The third proportional to 65,931 and 102,177 is: 158,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,931 : 102,177 = 102,177 : x
  2. Step 2: Convert to fraction form
    65,931/102,177 = 102,177/x
  3. Step 3: Cross multiply
    65,931x = 102,177 × 102,177
  4. Step 4: Simplify right side
    65,931x = 10,440,139,329
  5. Step 5: Solve for x
    x = 10,440,139,329/65,931
  6. Step 6: Final answer
    x = 158,349.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.