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Finding the Third Proportional to 96,210 and 140,591

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Solution

The third proportional to 96,210 and 140,591 is: 205,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,210 : 140,591 = 140,591 : x
  2. Step 2: Convert to fraction form
    96,210/140,591 = 140,591/x
  3. Step 3: Cross multiply
    96,210x = 140,591 × 140,591
  4. Step 4: Simplify right side
    96,210x = 19,765,829,281
  5. Step 5: Solve for x
    x = 19,765,829,281/96,210
  6. Step 6: Final answer
    x = 205,444.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.