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Finding the Third Proportional to 85,080 and 187,062

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Solution

The third proportional to 85,080 and 187,062 is: 411,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,080 : 187,062 = 187,062 : x
  2. Step 2: Convert to fraction form
    85,080/187,062 = 187,062/x
  3. Step 3: Cross multiply
    85,080x = 187,062 × 187,062
  4. Step 4: Simplify right side
    85,080x = 34,992,191,844
  5. Step 5: Solve for x
    x = 34,992,191,844/85,080
  6. Step 6: Final answer
    x = 411,285.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.