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Finding the Third Proportional to 56,511 and 85,494

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Solution

The third proportional to 56,511 and 85,494 is: 129,341.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,511 : 85,494 = 85,494 : x
  2. Step 2: Convert to fraction form
    56,511/85,494 = 85,494/x
  3. Step 3: Cross multiply
    56,511x = 85,494 × 85,494
  4. Step 4: Simplify right side
    56,511x = 7,309,224,036
  5. Step 5: Solve for x
    x = 7,309,224,036/56,511
  6. Step 6: Final answer
    x = 129,341.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.