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Finding the Third Proportional to 77,186.25 and 168,507

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Solution

The third proportional to 77,186.25 and 168,507 is: 367,871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,186.25 : 168,507 = 168,507 : x
  2. Step 2: Convert to fraction form
    77,186.25/168,507 = 168,507/x
  3. Step 3: Cross multiply
    77,186.25x = 168,507 × 168,507
  4. Step 4: Simplify right side
    77,186.25x = 28,394,609,049
  5. Step 5: Solve for x
    x = 28,394,609,049/77,186.25
  6. Step 6: Final answer
    x = 367,871.34

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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.