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Finding the Third Proportional to 77,028 and 167,224

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Solution

The third proportional to 77,028 and 167,224 is: 363,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,028 : 167,224 = 167,224 : x
  2. Step 2: Convert to fraction form
    77,028/167,224 = 167,224/x
  3. Step 3: Cross multiply
    77,028x = 167,224 × 167,224
  4. Step 4: Simplify right side
    77,028x = 27,963,866,176
  5. Step 5: Solve for x
    x = 27,963,866,176/77,028
  6. Step 6: Final answer
    x = 363,035.08

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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.