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Finding the Third Proportional to 77,376 and 167,424

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Solution

The third proportional to 77,376 and 167,424 is: 362,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,376 : 167,424 = 167,424 : x
  2. Step 2: Convert to fraction form
    77,376/167,424 = 167,424/x
  3. Step 3: Cross multiply
    77,376x = 167,424 × 167,424
  4. Step 4: Simplify right side
    77,376x = 28,030,795,776
  5. Step 5: Solve for x
    x = 28,030,795,776/77,376
  6. Step 6: Final answer
    x = 362,267.32

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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.