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Finding the Third Proportional to 65,007 and 103,150

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Solution

The third proportional to 65,007 and 103,150 is: 163,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,007 : 103,150 = 103,150 : x
  2. Step 2: Convert to fraction form
    65,007/103,150 = 103,150/x
  3. Step 3: Cross multiply
    65,007x = 103,150 × 103,150
  4. Step 4: Simplify right side
    65,007x = 10,639,922,500
  5. Step 5: Solve for x
    x = 10,639,922,500/65,007
  6. Step 6: Final answer
    x = 163,673.49

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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.