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Finding the Third Proportional to 44,245 and 95,527

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Solution

The third proportional to 44,245 and 95,527 is: 206,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,245 : 95,527 = 95,527 : x
  2. Step 2: Convert to fraction form
    44,245/95,527 = 95,527/x
  3. Step 3: Cross multiply
    44,245x = 95,527 × 95,527
  4. Step 4: Simplify right side
    44,245x = 9,125,407,729
  5. Step 5: Solve for x
    x = 9,125,407,729/44,245
  6. Step 6: Final answer
    x = 206,247.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.