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Finding the Third Proportional to 102,192 and 137,328

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Solution

The third proportional to 102,192 and 137,328 is: 184,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,192 : 137,328 = 137,328 : x
  2. Step 2: Convert to fraction form
    102,192/137,328 = 137,328/x
  3. Step 3: Cross multiply
    102,192x = 137,328 × 137,328
  4. Step 4: Simplify right side
    102,192x = 18,858,979,584
  5. Step 5: Solve for x
    x = 18,858,979,584/102,192
  6. Step 6: Final answer
    x = 184,544.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.