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Finding the Third Proportional to 74,340 and 114,795

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Solution

The third proportional to 74,340 and 114,795 is: 177,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,340 : 114,795 = 114,795 : x
  2. Step 2: Convert to fraction form
    74,340/114,795 = 114,795/x
  3. Step 3: Cross multiply
    74,340x = 114,795 × 114,795
  4. Step 4: Simplify right side
    74,340x = 13,177,892,025
  5. Step 5: Solve for x
    x = 13,177,892,025/74,340
  6. Step 6: Final answer
    x = 177,265.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.