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Finding the Third Proportional to 95,244 and 145,920

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Solution

The third proportional to 95,244 and 145,920 is: 223,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,244 : 145,920 = 145,920 : x
  2. Step 2: Convert to fraction form
    95,244/145,920 = 145,920/x
  3. Step 3: Cross multiply
    95,244x = 145,920 × 145,920
  4. Step 4: Simplify right side
    95,244x = 21,292,646,400
  5. Step 5: Solve for x
    x = 21,292,646,400/95,244
  6. Step 6: Final answer
    x = 223,558.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.