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Finding the Third Proportional to 92,424 and 133,533

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Solution

The third proportional to 92,424 and 133,533 is: 192,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,424 : 133,533 = 133,533 : x
  2. Step 2: Convert to fraction form
    92,424/133,533 = 133,533/x
  3. Step 3: Cross multiply
    92,424x = 133,533 × 133,533
  4. Step 4: Simplify right side
    92,424x = 17,831,062,089
  5. Step 5: Solve for x
    x = 17,831,062,089/92,424
  6. Step 6: Final answer
    x = 192,926.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.