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Finding the Third Proportional to 77,963 and 167,572

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Solution

The third proportional to 77,963 and 167,572 is: 360,175.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,963 : 167,572 = 167,572 : x
  2. Step 2: Convert to fraction form
    77,963/167,572 = 167,572/x
  3. Step 3: Cross multiply
    77,963x = 167,572 × 167,572
  4. Step 4: Simplify right side
    77,963x = 28,080,375,184
  5. Step 5: Solve for x
    x = 28,080,375,184/77,963
  6. Step 6: Final answer
    x = 360,175.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.