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Finding the Third Proportional to 61,802 and 92,457

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Solution

The third proportional to 61,802 and 92,457 is: 138,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,802 : 92,457 = 92,457 : x
  2. Step 2: Convert to fraction form
    61,802/92,457 = 92,457/x
  3. Step 3: Cross multiply
    61,802x = 92,457 × 92,457
  4. Step 4: Simplify right side
    61,802x = 8,548,296,849
  5. Step 5: Solve for x
    x = 8,548,296,849/61,802
  6. Step 6: Final answer
    x = 138,317.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.