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Finding the Third Proportional to 96,546 and 153,555

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Solution

The third proportional to 96,546 and 153,555 is: 244,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,546 : 153,555 = 153,555 : x
  2. Step 2: Convert to fraction form
    96,546/153,555 = 153,555/x
  3. Step 3: Cross multiply
    96,546x = 153,555 × 153,555
  4. Step 4: Simplify right side
    96,546x = 23,579,138,025
  5. Step 5: Solve for x
    x = 23,579,138,025/96,546
  6. Step 6: Final answer
    x = 244,226.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.