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Finding the Third Proportional to 68,102 and 95,347

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Solution

The third proportional to 68,102 and 95,347 is: 133,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,102 : 95,347 = 95,347 : x
  2. Step 2: Convert to fraction form
    68,102/95,347 = 95,347/x
  3. Step 3: Cross multiply
    68,102x = 95,347 × 95,347
  4. Step 4: Simplify right side
    68,102x = 9,091,050,409
  5. Step 5: Solve for x
    x = 9,091,050,409/68,102
  6. Step 6: Final answer
    x = 133,491.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.