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Finding the Third Proportional to 86,505 and 187,779

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Solution

The third proportional to 86,505 and 187,779 is: 407,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,505 : 187,779 = 187,779 : x
  2. Step 2: Convert to fraction form
    86,505/187,779 = 187,779/x
  3. Step 3: Cross multiply
    86,505x = 187,779 × 187,779
  4. Step 4: Simplify right side
    86,505x = 35,260,952,841
  5. Step 5: Solve for x
    x = 35,260,952,841/86,505
  6. Step 6: Final answer
    x = 407,617.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.