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Finding the Third Proportional to 96,744 and 145,683

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Solution

The third proportional to 96,744 and 145,683 is: 219,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,744 : 145,683 = 145,683 : x
  2. Step 2: Convert to fraction form
    96,744/145,683 = 145,683/x
  3. Step 3: Cross multiply
    96,744x = 145,683 × 145,683
  4. Step 4: Simplify right side
    96,744x = 21,223,536,489
  5. Step 5: Solve for x
    x = 21,223,536,489/96,744
  6. Step 6: Final answer
    x = 219,378.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.