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Finding the Third Proportional to 44,564 and 95,143

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Solution

The third proportional to 44,564 and 95,143 is: 203,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,564 : 95,143 = 95,143 : x
  2. Step 2: Convert to fraction form
    44,564/95,143 = 95,143/x
  3. Step 3: Cross multiply
    44,564x = 95,143 × 95,143
  4. Step 4: Simplify right side
    44,564x = 9,052,190,449
  5. Step 5: Solve for x
    x = 9,052,190,449/44,564
  6. Step 6: Final answer
    x = 203,127.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.