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Finding the Third Proportional to 92,822 and 149,457

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Solution

The third proportional to 92,822 and 149,457 is: 240,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,822 : 149,457 = 149,457 : x
  2. Step 2: Convert to fraction form
    92,822/149,457 = 149,457/x
  3. Step 3: Cross multiply
    92,822x = 149,457 × 149,457
  4. Step 4: Simplify right side
    92,822x = 22,337,394,849
  5. Step 5: Solve for x
    x = 22,337,394,849/92,822
  6. Step 6: Final answer
    x = 240,647.64

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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.