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Finding the Third Proportional to 92,823 and 149,459

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Solution

The third proportional to 92,823 and 149,459 is: 240,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,823 : 149,459 = 149,459 : x
  2. Step 2: Convert to fraction form
    92,823/149,459 = 149,459/x
  3. Step 3: Cross multiply
    92,823x = 149,459 × 149,459
  4. Step 4: Simplify right side
    92,823x = 22,337,992,681
  5. Step 5: Solve for x
    x = 22,337,992,681/92,823
  6. Step 6: Final answer
    x = 240,651.48

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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.