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Finding the Third Proportional to 77,520 and 167,433

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Solution

The third proportional to 77,520 and 167,433 is: 361,633.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,520 : 167,433 = 167,433 : x
  2. Step 2: Convert to fraction form
    77,520/167,433 = 167,433/x
  3. Step 3: Cross multiply
    77,520x = 167,433 × 167,433
  4. Step 4: Simplify right side
    77,520x = 28,033,809,489
  5. Step 5: Solve for x
    x = 28,033,809,489/77,520
  6. Step 6: Final answer
    x = 361,633.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.