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Finding the Third Proportional to 96,552 and 139,833

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Solution

The third proportional to 96,552 and 139,833 is: 202,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,552 : 139,833 = 139,833 : x
  2. Step 2: Convert to fraction form
    96,552/139,833 = 139,833/x
  3. Step 3: Cross multiply
    96,552x = 139,833 × 139,833
  4. Step 4: Simplify right side
    96,552x = 19,553,267,889
  5. Step 5: Solve for x
    x = 19,553,267,889/96,552
  6. Step 6: Final answer
    x = 202,515.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.