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Finding the Third Proportional to 78,201 and 170,743

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Solution

The third proportional to 78,201 and 170,743 is: 372,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,201 : 170,743 = 170,743 : x
  2. Step 2: Convert to fraction form
    78,201/170,743 = 170,743/x
  3. Step 3: Cross multiply
    78,201x = 170,743 × 170,743
  4. Step 4: Simplify right side
    78,201x = 29,153,172,049
  5. Step 5: Solve for x
    x = 29,153,172,049/78,201
  6. Step 6: Final answer
    x = 372,797.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.