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Finding the Third Proportional to 78,797 and 170,722

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Solution

The third proportional to 78,797 and 170,722 is: 369,887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,797 : 170,722 = 170,722 : x
  2. Step 2: Convert to fraction form
    78,797/170,722 = 170,722/x
  3. Step 3: Cross multiply
    78,797x = 170,722 × 170,722
  4. Step 4: Simplify right side
    78,797x = 29,146,001,284
  5. Step 5: Solve for x
    x = 29,146,001,284/78,797
  6. Step 6: Final answer
    x = 369,887.19

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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.