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Finding the Third Proportional to 77,216 and 167,716

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Solution

The third proportional to 77,216 and 167,716 is: 364,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,216 : 167,716 = 167,716 : x
  2. Step 2: Convert to fraction form
    77,216/167,716 = 167,716/x
  3. Step 3: Cross multiply
    77,216x = 167,716 × 167,716
  4. Step 4: Simplify right side
    77,216x = 28,128,656,656
  5. Step 5: Solve for x
    x = 28,128,656,656/77,216
  6. Step 6: Final answer
    x = 364,285.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.