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Finding the Third Proportional to 96,515.25 and 139,235.25

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Solution

The third proportional to 96,515.25 and 139,235.25 is: 200,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,515.25 : 139,235.25 = 139,235.25 : x
  2. Step 2: Convert to fraction form
    96,515.25/139,235.25 = 139,235.25/x
  3. Step 3: Cross multiply
    96,515.25x = 139,235.25 × 139,235.25
  4. Step 4: Simplify right side
    96,515.25x = 19,386,454,842.56
  5. Step 5: Solve for x
    x = 19,386,454,842.56/96,515.25
  6. Step 6: Final answer
    x = 200,864.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.