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Finding the Third Proportional to 96,777 and 142,317

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Solution

The third proportional to 96,777 and 142,317 is: 209,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,777 : 142,317 = 142,317 : x
  2. Step 2: Convert to fraction form
    96,777/142,317 = 142,317/x
  3. Step 3: Cross multiply
    96,777x = 142,317 × 142,317
  4. Step 4: Simplify right side
    96,777x = 20,254,128,489
  5. Step 5: Solve for x
    x = 20,254,128,489/96,777
  6. Step 6: Final answer
    x = 209,286.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.