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Finding the Third Proportional to 96,054 and 140,966

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Solution

The third proportional to 96,054 and 140,966 is: 206,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,054 : 140,966 = 140,966 : x
  2. Step 2: Convert to fraction form
    96,054/140,966 = 140,966/x
  3. Step 3: Cross multiply
    96,054x = 140,966 × 140,966
  4. Step 4: Simplify right side
    96,054x = 19,871,413,156
  5. Step 5: Solve for x
    x = 19,871,413,156/96,054
  6. Step 6: Final answer
    x = 206,877.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.