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Finding the Third Proportional to 66,118 and 102,093

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Solution

The third proportional to 66,118 and 102,093 is: 157,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,118 : 102,093 = 102,093 : x
  2. Step 2: Convert to fraction form
    66,118/102,093 = 102,093/x
  3. Step 3: Cross multiply
    66,118x = 102,093 × 102,093
  4. Step 4: Simplify right side
    66,118x = 10,422,980,649
  5. Step 5: Solve for x
    x = 10,422,980,649/66,118
  6. Step 6: Final answer
    x = 157,642.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.