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Finding the Third Proportional to 69,158 and 95,097

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Solution

The third proportional to 69,158 and 95,097 is: 130,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,158 : 95,097 = 95,097 : x
  2. Step 2: Convert to fraction form
    69,158/95,097 = 95,097/x
  3. Step 3: Cross multiply
    69,158x = 95,097 × 95,097
  4. Step 4: Simplify right side
    69,158x = 9,043,439,409
  5. Step 5: Solve for x
    x = 9,043,439,409/69,158
  6. Step 6: Final answer
    x = 130,764.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.