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Finding the Third Proportional to 56,814 and 85,005

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Solution

The third proportional to 56,814 and 85,005 is: 127,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,814 : 85,005 = 85,005 : x
  2. Step 2: Convert to fraction form
    56,814/85,005 = 85,005/x
  3. Step 3: Cross multiply
    56,814x = 85,005 × 85,005
  4. Step 4: Simplify right side
    56,814x = 7,225,850,025
  5. Step 5: Solve for x
    x = 7,225,850,025/56,814
  6. Step 6: Final answer
    x = 127,184.32

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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.