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Finding the Third Proportional to 56,827 and 85,240

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Solution

The third proportional to 56,827 and 85,240 is: 127,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,827 : 85,240 = 85,240 : x
  2. Step 2: Convert to fraction form
    56,827/85,240 = 85,240/x
  3. Step 3: Cross multiply
    56,827x = 85,240 × 85,240
  4. Step 4: Simplify right side
    56,827x = 7,265,857,600
  5. Step 5: Solve for x
    x = 7,265,857,600/56,827
  6. Step 6: Final answer
    x = 127,859.25

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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.