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Finding the Third Proportional to 96,350 and 148,282

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Solution

The third proportional to 96,350 and 148,282 is: 228,205.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,350 : 148,282 = 148,282 : x
  2. Step 2: Convert to fraction form
    96,350/148,282 = 148,282/x
  3. Step 3: Cross multiply
    96,350x = 148,282 × 148,282
  4. Step 4: Simplify right side
    96,350x = 21,987,551,524
  5. Step 5: Solve for x
    x = 21,987,551,524/96,350
  6. Step 6: Final answer
    x = 228,205.00

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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.