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Finding the Third Proportional to 74,170.13 and 114,812.44

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Solution

The third proportional to 74,170.13 and 114,812.44 is: 177,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,170.13 : 114,812.44 = 114,812.44 : x
  2. Step 2: Convert to fraction form
    74,170.13/114,812.44 = 114,812.44/x
  3. Step 3: Cross multiply
    74,170.13x = 114,812.44 × 114,812.44
  4. Step 4: Simplify right side
    74,170.13x = 13,181,895,804.69
  5. Step 5: Solve for x
    x = 13,181,895,804.69/74,170.13
  6. Step 6: Final answer
    x = 177,725.14

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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.