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Finding the Third Proportional to 92,834 and 149,475

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Solution

The third proportional to 92,834 and 149,475 is: 240,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,834 : 149,475 = 149,475 : x
  2. Step 2: Convert to fraction form
    92,834/149,475 = 149,475/x
  3. Step 3: Cross multiply
    92,834x = 149,475 × 149,475
  4. Step 4: Simplify right side
    92,834x = 22,342,775,625
  5. Step 5: Solve for x
    x = 22,342,775,625/92,834
  6. Step 6: Final answer
    x = 240,674.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.