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Finding the Third Proportional to 79,656 and 117,660

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Solution

The third proportional to 79,656 and 117,660 is: 173,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,656 : 117,660 = 117,660 : x
  2. Step 2: Convert to fraction form
    79,656/117,660 = 117,660/x
  3. Step 3: Cross multiply
    79,656x = 117,660 × 117,660
  4. Step 4: Simplify right side
    79,656x = 13,843,875,600
  5. Step 5: Solve for x
    x = 13,843,875,600/79,656
  6. Step 6: Final answer
    x = 173,795.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.