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Finding the Third Proportional to 96,555 and 153,640.50

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Solution

The third proportional to 96,555 and 153,640.50 is: 244,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,555 : 153,640.50 = 153,640.50 : x
  2. Step 2: Convert to fraction form
    96,555/153,640.50 = 153,640.50/x
  3. Step 3: Cross multiply
    96,555x = 153,640.50 × 153,640.50
  4. Step 4: Simplify right side
    96,555x = 23,605,403,240.25
  5. Step 5: Solve for x
    x = 23,605,403,240.25/96,555
  6. Step 6: Final answer
    x = 244,476.24

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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.