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Finding the Third Proportional to 34,346 and 74,524

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Solution

The third proportional to 34,346 and 74,524 is: 161,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,346 : 74,524 = 74,524 : x
  2. Step 2: Convert to fraction form
    34,346/74,524 = 74,524/x
  3. Step 3: Cross multiply
    34,346x = 74,524 × 74,524
  4. Step 4: Simplify right side
    34,346x = 5,553,826,576
  5. Step 5: Solve for x
    x = 5,553,826,576/34,346
  6. Step 6: Final answer
    x = 161,702.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.