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Finding the Third Proportional to 74,336 and 109,536

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Solution

The third proportional to 74,336 and 109,536 is: 161,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,336 : 109,536 = 109,536 : x
  2. Step 2: Convert to fraction form
    74,336/109,536 = 109,536/x
  3. Step 3: Cross multiply
    74,336x = 109,536 × 109,536
  4. Step 4: Simplify right side
    74,336x = 11,998,135,296
  5. Step 5: Solve for x
    x = 11,998,135,296/74,336
  6. Step 6: Final answer
    x = 161,404.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.