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Finding the Third Proportional to 134,090.44 and 192,774.94

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Solution

The third proportional to 134,090.44 and 192,774.94 is: 277,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,090.44 : 192,774.94 = 192,774.94 : x
  2. Step 2: Convert to fraction form
    134,090.44/192,774.94 = 192,774.94/x
  3. Step 3: Cross multiply
    134,090.44x = 192,774.94 × 192,774.94
  4. Step 4: Simplify right side
    134,090.44x = 37,162,176,528.13
  5. Step 5: Solve for x
    x = 37,162,176,528.13/134,090.44
  6. Step 6: Final answer
    x = 277,142.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.