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Finding the Third Proportional to 77,524 and 168,893

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Solution

The third proportional to 77,524 and 168,893 is: 367,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,524 : 168,893 = 168,893 : x
  2. Step 2: Convert to fraction form
    77,524/168,893 = 168,893/x
  3. Step 3: Cross multiply
    77,524x = 168,893 × 168,893
  4. Step 4: Simplify right side
    77,524x = 28,524,845,449
  5. Step 5: Solve for x
    x = 28,524,845,449/77,524
  6. Step 6: Final answer
    x = 367,948.58

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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.