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Finding the Third Proportional to 74,252 and 114,895

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Solution

The third proportional to 74,252 and 114,895 is: 177,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,252 : 114,895 = 114,895 : x
  2. Step 2: Convert to fraction form
    74,252/114,895 = 114,895/x
  3. Step 3: Cross multiply
    74,252x = 114,895 × 114,895
  4. Step 4: Simplify right side
    74,252x = 13,200,861,025
  5. Step 5: Solve for x
    x = 13,200,861,025/74,252
  6. Step 6: Final answer
    x = 177,784.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.