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Finding the Third Proportional to 91,348 and 143,497

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Solution

The third proportional to 91,348 and 143,497 is: 225,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,348 : 143,497 = 143,497 : x
  2. Step 2: Convert to fraction form
    91,348/143,497 = 143,497/x
  3. Step 3: Cross multiply
    91,348x = 143,497 × 143,497
  4. Step 4: Simplify right side
    91,348x = 20,591,389,009
  5. Step 5: Solve for x
    x = 20,591,389,009/91,348
  6. Step 6: Final answer
    x = 225,416.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.