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Finding the Third Proportional to 57,059 and 85,273

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Solution

The third proportional to 57,059 and 85,273 is: 127,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,059 : 85,273 = 85,273 : x
  2. Step 2: Convert to fraction form
    57,059/85,273 = 85,273/x
  3. Step 3: Cross multiply
    57,059x = 85,273 × 85,273
  4. Step 4: Simplify right side
    57,059x = 7,271,484,529
  5. Step 5: Solve for x
    x = 7,271,484,529/57,059
  6. Step 6: Final answer
    x = 127,437.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.