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Finding the Third Proportional to 96,944 and 144,831

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Solution

The third proportional to 96,944 and 144,831 is: 216,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,944 : 144,831 = 144,831 : x
  2. Step 2: Convert to fraction form
    96,944/144,831 = 144,831/x
  3. Step 3: Cross multiply
    96,944x = 144,831 × 144,831
  4. Step 4: Simplify right side
    96,944x = 20,976,018,561
  5. Step 5: Solve for x
    x = 20,976,018,561/96,944
  6. Step 6: Final answer
    x = 216,372.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.