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Finding the Third Proportional to 143,127 and 227,853

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Solution

The third proportional to 143,127 and 227,853 is: 362,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,127 : 227,853 = 227,853 : x
  2. Step 2: Convert to fraction form
    143,127/227,853 = 227,853/x
  3. Step 3: Cross multiply
    143,127x = 227,853 × 227,853
  4. Step 4: Simplify right side
    143,127x = 51,916,989,609
  5. Step 5: Solve for x
    x = 51,916,989,609/143,127
  6. Step 6: Final answer
    x = 362,733.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.