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Finding the Third Proportional to 75,629 and 102,333

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Solution

The third proportional to 75,629 and 102,333 is: 138,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,629 : 102,333 = 102,333 : x
  2. Step 2: Convert to fraction form
    75,629/102,333 = 102,333/x
  3. Step 3: Cross multiply
    75,629x = 102,333 × 102,333
  4. Step 4: Simplify right side
    75,629x = 10,472,042,889
  5. Step 5: Solve for x
    x = 10,472,042,889/75,629
  6. Step 6: Final answer
    x = 138,465.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.