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Finding the Third Proportional to 96,633 and 139,182.75

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Solution

The third proportional to 96,633 and 139,182.75 is: 200,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,633 : 139,182.75 = 139,182.75 : x
  2. Step 2: Convert to fraction form
    96,633/139,182.75 = 139,182.75/x
  3. Step 3: Cross multiply
    96,633x = 139,182.75 × 139,182.75
  4. Step 4: Simplify right side
    96,633x = 19,371,837,897.56
  5. Step 5: Solve for x
    x = 19,371,837,897.56/96,633
  6. Step 6: Final answer
    x = 200,468.14

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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.