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Finding the Third Proportional to 96,984 and 145,836

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Solution

The third proportional to 96,984 and 145,836 is: 219,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,984 : 145,836 = 145,836 : x
  2. Step 2: Convert to fraction form
    96,984/145,836 = 145,836/x
  3. Step 3: Cross multiply
    96,984x = 145,836 × 145,836
  4. Step 4: Simplify right side
    96,984x = 21,268,138,896
  5. Step 5: Solve for x
    x = 21,268,138,896/96,984
  6. Step 6: Final answer
    x = 219,295.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.