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Finding the Third Proportional to 44,102 and 95,277

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Solution

The third proportional to 44,102 and 95,277 is: 205,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,102 : 95,277 = 95,277 : x
  2. Step 2: Convert to fraction form
    44,102/95,277 = 95,277/x
  3. Step 3: Cross multiply
    44,102x = 95,277 × 95,277
  4. Step 4: Simplify right side
    44,102x = 9,077,706,729
  5. Step 5: Solve for x
    x = 9,077,706,729/44,102
  6. Step 6: Final answer
    x = 205,834.36

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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.