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Finding the Third Proportional to 64,144 and 95,532

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Solution

The third proportional to 64,144 and 95,532 is: 142,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,144 : 95,532 = 95,532 : x
  2. Step 2: Convert to fraction form
    64,144/95,532 = 95,532/x
  3. Step 3: Cross multiply
    64,144x = 95,532 × 95,532
  4. Step 4: Simplify right side
    64,144x = 9,126,363,024
  5. Step 5: Solve for x
    x = 9,126,363,024/64,144
  6. Step 6: Final answer
    x = 142,279.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.