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Finding the Third Proportional to 44,043 and 95,262

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Solution

The third proportional to 44,043 and 95,262 is: 206,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,043 : 95,262 = 95,262 : x
  2. Step 2: Convert to fraction form
    44,043/95,262 = 95,262/x
  3. Step 3: Cross multiply
    44,043x = 95,262 × 95,262
  4. Step 4: Simplify right side
    44,043x = 9,074,848,644
  5. Step 5: Solve for x
    x = 9,074,848,644/44,043
  6. Step 6: Final answer
    x = 206,045.20

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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.