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Finding the Third Proportional to 90,153 and 140,143

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Solution

The third proportional to 90,153 and 140,143 is: 217,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,153 : 140,143 = 140,143 : x
  2. Step 2: Convert to fraction form
    90,153/140,143 = 140,143/x
  3. Step 3: Cross multiply
    90,153x = 140,143 × 140,143
  4. Step 4: Simplify right side
    90,153x = 19,640,060,449
  5. Step 5: Solve for x
    x = 19,640,060,449/90,153
  6. Step 6: Final answer
    x = 217,852.54

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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.