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Finding the Third Proportional to 117,081 and 177,133.50

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Solution

The third proportional to 117,081 and 177,133.50 is: 267,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,081 : 177,133.50 = 177,133.50 : x
  2. Step 2: Convert to fraction form
    117,081/177,133.50 = 177,133.50/x
  3. Step 3: Cross multiply
    117,081x = 177,133.50 × 177,133.50
  4. Step 4: Simplify right side
    117,081x = 31,376,276,822.25
  5. Step 5: Solve for x
    x = 31,376,276,822.25/117,081
  6. Step 6: Final answer
    x = 267,987.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.