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Finding the Third Proportional to 124,615 and 168,971

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Solution

The third proportional to 124,615 and 168,971 is: 229,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,615 : 168,971 = 168,971 : x
  2. Step 2: Convert to fraction form
    124,615/168,971 = 168,971/x
  3. Step 3: Cross multiply
    124,615x = 168,971 × 168,971
  4. Step 4: Simplify right side
    124,615x = 28,551,198,841
  5. Step 5: Solve for x
    x = 28,551,198,841/124,615
  6. Step 6: Final answer
    x = 229,115.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.