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Finding the Third Proportional to 35,140 and 75,302

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Solution

The third proportional to 35,140 and 75,302 is: 161,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,140 : 75,302 = 75,302 : x
  2. Step 2: Convert to fraction form
    35,140/75,302 = 75,302/x
  3. Step 3: Cross multiply
    35,140x = 75,302 × 75,302
  4. Step 4: Simplify right side
    35,140x = 5,670,391,204
  5. Step 5: Solve for x
    x = 5,670,391,204/35,140
  6. Step 6: Final answer
    x = 161,365.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.