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Finding the Third Proportional to 90,326 and 140,314

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Solution

The third proportional to 90,326 and 140,314 is: 217,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,326 : 140,314 = 140,314 : x
  2. Step 2: Convert to fraction form
    90,326/140,314 = 140,314/x
  3. Step 3: Cross multiply
    90,326x = 140,314 × 140,314
  4. Step 4: Simplify right side
    90,326x = 19,688,018,596
  5. Step 5: Solve for x
    x = 19,688,018,596/90,326
  6. Step 6: Final answer
    x = 217,966.24

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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.