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Finding the Third Proportional to 57,256 and 88,056

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Solution

The third proportional to 57,256 and 88,056 is: 135,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,256 : 88,056 = 88,056 : x
  2. Step 2: Convert to fraction form
    57,256/88,056 = 88,056/x
  3. Step 3: Cross multiply
    57,256x = 88,056 × 88,056
  4. Step 4: Simplify right side
    57,256x = 7,753,859,136
  5. Step 5: Solve for x
    x = 7,753,859,136/57,256
  6. Step 6: Final answer
    x = 135,424.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.