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Finding the Third Proportional to 95,128 and 146,271

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Solution

The third proportional to 95,128 and 146,271 is: 224,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,128 : 146,271 = 146,271 : x
  2. Step 2: Convert to fraction form
    95,128/146,271 = 146,271/x
  3. Step 3: Cross multiply
    95,128x = 146,271 × 146,271
  4. Step 4: Simplify right side
    95,128x = 21,395,205,441
  5. Step 5: Solve for x
    x = 21,395,205,441/95,128
  6. Step 6: Final answer
    x = 224,909.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.