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Finding the Third Proportional to 96,347 and 148,278

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Solution

The third proportional to 96,347 and 148,278 is: 228,199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,347 : 148,278 = 148,278 : x
  2. Step 2: Convert to fraction form
    96,347/148,278 = 148,278/x
  3. Step 3: Cross multiply
    96,347x = 148,278 × 148,278
  4. Step 4: Simplify right side
    96,347x = 21,986,365,284
  5. Step 5: Solve for x
    x = 21,986,365,284/96,347
  6. Step 6: Final answer
    x = 228,199.79

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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.