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Finding the Third Proportional to 96,642 and 153,747

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Solution

The third proportional to 96,642 and 153,747 is: 244,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,642 : 153,747 = 153,747 : x
  2. Step 2: Convert to fraction form
    96,642/153,747 = 153,747/x
  3. Step 3: Cross multiply
    96,642x = 153,747 × 153,747
  4. Step 4: Simplify right side
    96,642x = 23,638,140,009
  5. Step 5: Solve for x
    x = 23,638,140,009/96,642
  6. Step 6: Final answer
    x = 244,594.90

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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.