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Finding the Third Proportional to 34,046 and 74,102

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Solution

The third proportional to 34,046 and 74,102 is: 161,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,046 : 74,102 = 74,102 : x
  2. Step 2: Convert to fraction form
    34,046/74,102 = 74,102/x
  3. Step 3: Cross multiply
    34,046x = 74,102 × 74,102
  4. Step 4: Simplify right side
    34,046x = 5,491,106,404
  5. Step 5: Solve for x
    x = 5,491,106,404/34,046
  6. Step 6: Final answer
    x = 161,284.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.