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Finding the Third Proportional to 34,062 and 71,076

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Solution

The third proportional to 34,062 and 71,076 is: 148,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,062 : 71,076 = 71,076 : x
  2. Step 2: Convert to fraction form
    34,062/71,076 = 71,076/x
  3. Step 3: Cross multiply
    34,062x = 71,076 × 71,076
  4. Step 4: Simplify right side
    34,062x = 5,051,797,776
  5. Step 5: Solve for x
    x = 5,051,797,776/34,062
  6. Step 6: Final answer
    x = 148,311.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.