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Finding the Third Proportional to 34,076 and 69,533

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Solution

The third proportional to 34,076 and 69,533 is: 141,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,076 : 69,533 = 69,533 : x
  2. Step 2: Convert to fraction form
    34,076/69,533 = 69,533/x
  3. Step 3: Cross multiply
    34,076x = 69,533 × 69,533
  4. Step 4: Simplify right side
    34,076x = 4,834,838,089
  5. Step 5: Solve for x
    x = 4,834,838,089/34,076
  6. Step 6: Final answer
    x = 141,883.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.