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Finding the Third Proportional to 132,294 and 192,892.50

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Solution

The third proportional to 132,294 and 192,892.50 is: 281,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,294 : 192,892.50 = 192,892.50 : x
  2. Step 2: Convert to fraction form
    132,294/192,892.50 = 192,892.50/x
  3. Step 3: Cross multiply
    132,294x = 192,892.50 × 192,892.50
  4. Step 4: Simplify right side
    132,294x = 37,207,516,556.25
  5. Step 5: Solve for x
    x = 37,207,516,556.25/132,294
  6. Step 6: Final answer
    x = 281,248.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.