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Finding the Third Proportional to 141,844.50 and 189,270

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Solution

The third proportional to 141,844.50 and 189,270 is: 252,552.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,844.50 : 189,270 = 189,270 : x
  2. Step 2: Convert to fraction form
    141,844.50/189,270 = 189,270/x
  3. Step 3: Cross multiply
    141,844.50x = 189,270 × 189,270
  4. Step 4: Simplify right side
    141,844.50x = 35,823,132,900
  5. Step 5: Solve for x
    x = 35,823,132,900/141,844.50
  6. Step 6: Final answer
    x = 252,552.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.