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Finding the Third Proportional to 57,056 and 85,758

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Solution

The third proportional to 57,056 and 85,758 is: 128,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,056 : 85,758 = 85,758 : x
  2. Step 2: Convert to fraction form
    57,056/85,758 = 85,758/x
  3. Step 3: Cross multiply
    57,056x = 85,758 × 85,758
  4. Step 4: Simplify right side
    57,056x = 7,354,434,564
  5. Step 5: Solve for x
    x = 7,354,434,564/57,056
  6. Step 6: Final answer
    x = 128,898.53

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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.