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Finding the Third Proportional to 77,615 and 167,687

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Solution

The third proportional to 77,615 and 167,687 is: 362,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,615 : 167,687 = 167,687 : x
  2. Step 2: Convert to fraction form
    77,615/167,687 = 167,687/x
  3. Step 3: Cross multiply
    77,615x = 167,687 × 167,687
  4. Step 4: Simplify right side
    77,615x = 28,118,929,969
  5. Step 5: Solve for x
    x = 28,118,929,969/77,615
  6. Step 6: Final answer
    x = 362,287.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.