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Finding the Third Proportional to 92,102.44 and 138,495.38

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Solution

The third proportional to 92,102.44 and 138,495.38 is: 208,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,102.44 : 138,495.38 = 138,495.38 : x
  2. Step 2: Convert to fraction form
    92,102.44/138,495.38 = 138,495.38/x
  3. Step 3: Cross multiply
    92,102.44x = 138,495.38 × 138,495.38
  4. Step 4: Simplify right side
    92,102.44x = 19,180,968,896.39
  5. Step 5: Solve for x
    x = 19,180,968,896.39/92,102.44
  6. Step 6: Final answer
    x = 208,256.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.