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Finding the Third Proportional to 40,384 and 85,178

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Solution

The third proportional to 40,384 and 85,178 is: 179,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,384 : 85,178 = 85,178 : x
  2. Step 2: Convert to fraction form
    40,384/85,178 = 85,178/x
  3. Step 3: Cross multiply
    40,384x = 85,178 × 85,178
  4. Step 4: Simplify right side
    40,384x = 7,255,291,684
  5. Step 5: Solve for x
    x = 7,255,291,684/40,384
  6. Step 6: Final answer
    x = 179,657.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.