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Finding the Third Proportional to 96,327 and 148,242

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Solution

The third proportional to 96,327 and 148,242 is: 228,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,327 : 148,242 = 148,242 : x
  2. Step 2: Convert to fraction form
    96,327/148,242 = 148,242/x
  3. Step 3: Cross multiply
    96,327x = 148,242 × 148,242
  4. Step 4: Simplify right side
    96,327x = 21,975,690,564
  5. Step 5: Solve for x
    x = 21,975,690,564/96,327
  6. Step 6: Final answer
    x = 228,136.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.