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Finding the Third Proportional to 77,616 and 117,882

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Solution

The third proportional to 77,616 and 117,882 is: 179,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,616 : 117,882 = 117,882 : x
  2. Step 2: Convert to fraction form
    77,616/117,882 = 117,882/x
  3. Step 3: Cross multiply
    77,616x = 117,882 × 117,882
  4. Step 4: Simplify right side
    77,616x = 13,896,165,924
  5. Step 5: Solve for x
    x = 13,896,165,924/77,616
  6. Step 6: Final answer
    x = 179,037.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.