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Finding the Third Proportional to 57,186 and 85,506

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Solution

The third proportional to 57,186 and 85,506 is: 127,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,186 : 85,506 = 85,506 : x
  2. Step 2: Convert to fraction form
    57,186/85,506 = 85,506/x
  3. Step 3: Cross multiply
    57,186x = 85,506 × 85,506
  4. Step 4: Simplify right side
    57,186x = 7,311,276,036
  5. Step 5: Solve for x
    x = 7,311,276,036/57,186
  6. Step 6: Final answer
    x = 127,850.80

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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.