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Finding the Third Proportional to 57,256 and 86,511

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Solution

The third proportional to 57,256 and 86,511 is: 130,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,256 : 86,511 = 86,511 : x
  2. Step 2: Convert to fraction form
    57,256/86,511 = 86,511/x
  3. Step 3: Cross multiply
    57,256x = 86,511 × 86,511
  4. Step 4: Simplify right side
    57,256x = 7,484,153,121
  5. Step 5: Solve for x
    x = 7,484,153,121/57,256
  6. Step 6: Final answer
    x = 130,713.87

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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.