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Finding the Third Proportional to 56,714 and 85,509

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Solution

The third proportional to 56,714 and 85,509 is: 128,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,714 : 85,509 = 85,509 : x
  2. Step 2: Convert to fraction form
    56,714/85,509 = 85,509/x
  3. Step 3: Cross multiply
    56,714x = 85,509 × 85,509
  4. Step 4: Simplify right side
    56,714x = 7,311,789,081
  5. Step 5: Solve for x
    x = 7,311,789,081/56,714
  6. Step 6: Final answer
    x = 128,923.88

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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.