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Finding the Third Proportional to 44,097 and 95,106

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Solution

The third proportional to 44,097 and 95,106 is: 205,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,097 : 95,106 = 95,106 : x
  2. Step 2: Convert to fraction form
    44,097/95,106 = 95,106/x
  3. Step 3: Cross multiply
    44,097x = 95,106 × 95,106
  4. Step 4: Simplify right side
    44,097x = 9,045,151,236
  5. Step 5: Solve for x
    x = 9,045,151,236/44,097
  6. Step 6: Final answer
    x = 205,119.42

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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.