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Finding the Third Proportional to 77,727 and 167,713

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Solution

The third proportional to 77,727 and 167,713 is: 361,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,727 : 167,713 = 167,713 : x
  2. Step 2: Convert to fraction form
    77,727/167,713 = 167,713/x
  3. Step 3: Cross multiply
    77,727x = 167,713 × 167,713
  4. Step 4: Simplify right side
    77,727x = 28,127,650,369
  5. Step 5: Solve for x
    x = 28,127,650,369/77,727
  6. Step 6: Final answer
    x = 361,877.47

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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.