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Finding the Third Proportional to 94,208 and 132,032

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Solution

The third proportional to 94,208 and 132,032 is: 185,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,208 : 132,032 = 132,032 : x
  2. Step 2: Convert to fraction form
    94,208/132,032 = 132,032/x
  3. Step 3: Cross multiply
    94,208x = 132,032 × 132,032
  4. Step 4: Simplify right side
    94,208x = 17,432,449,024
  5. Step 5: Solve for x
    x = 17,432,449,024/94,208
  6. Step 6: Final answer
    x = 185,042.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.