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Finding the Third Proportional to 77,426 and 167,524

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Solution

The third proportional to 77,426 and 167,524 is: 362,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,426 : 167,524 = 167,524 : x
  2. Step 2: Convert to fraction form
    77,426/167,524 = 167,524/x
  3. Step 3: Cross multiply
    77,426x = 167,524 × 167,524
  4. Step 4: Simplify right side
    77,426x = 28,064,290,576
  5. Step 5: Solve for x
    x = 28,064,290,576/77,426
  6. Step 6: Final answer
    x = 362,465.97

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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.