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Finding the Third Proportional to 95,898 and 145,176

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Solution

The third proportional to 95,898 and 145,176 is: 219,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,898 : 145,176 = 145,176 : x
  2. Step 2: Convert to fraction form
    95,898/145,176 = 145,176/x
  3. Step 3: Cross multiply
    95,898x = 145,176 × 145,176
  4. Step 4: Simplify right side
    95,898x = 21,076,070,976
  5. Step 5: Solve for x
    x = 21,076,070,976/95,898
  6. Step 6: Final answer
    x = 219,775.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.