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Finding the Third Proportional to 96,032 and 145,373

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Solution

The third proportional to 96,032 and 145,373 is: 220,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,032 : 145,373 = 145,373 : x
  2. Step 2: Convert to fraction form
    96,032/145,373 = 145,373/x
  3. Step 3: Cross multiply
    96,032x = 145,373 × 145,373
  4. Step 4: Simplify right side
    96,032x = 21,133,309,129
  5. Step 5: Solve for x
    x = 21,133,309,129/96,032
  6. Step 6: Final answer
    x = 220,065.28

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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.