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Finding the Third Proportional to 96,471 and 145,314

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Solution

The third proportional to 96,471 and 145,314 is: 218,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,471 : 145,314 = 145,314 : x
  2. Step 2: Convert to fraction form
    96,471/145,314 = 145,314/x
  3. Step 3: Cross multiply
    96,471x = 145,314 × 145,314
  4. Step 4: Simplify right side
    96,471x = 21,116,158,596
  5. Step 5: Solve for x
    x = 21,116,158,596/96,471
  6. Step 6: Final answer
    x = 218,886.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.