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Finding the Third Proportional to 77,924 and 166,216

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Solution

The third proportional to 77,924 and 166,216 is: 354,547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,924 : 166,216 = 166,216 : x
  2. Step 2: Convert to fraction form
    77,924/166,216 = 166,216/x
  3. Step 3: Cross multiply
    77,924x = 166,216 × 166,216
  4. Step 4: Simplify right side
    77,924x = 27,627,758,656
  5. Step 5: Solve for x
    x = 27,627,758,656/77,924
  6. Step 6: Final answer
    x = 354,547.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.