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Finding the Third Proportional to 35,189 and 74,953

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Solution

The third proportional to 35,189 and 74,953 is: 159,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,189 : 74,953 = 74,953 : x
  2. Step 2: Convert to fraction form
    35,189/74,953 = 74,953/x
  3. Step 3: Cross multiply
    35,189x = 74,953 × 74,953
  4. Step 4: Simplify right side
    35,189x = 5,617,952,209
  5. Step 5: Solve for x
    x = 5,617,952,209/35,189
  6. Step 6: Final answer
    x = 159,650.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.