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Finding the Third Proportional to 35,269 and 75,391

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Solution

The third proportional to 35,269 and 75,391 is: 161,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,269 : 75,391 = 75,391 : x
  2. Step 2: Convert to fraction form
    35,269/75,391 = 75,391/x
  3. Step 3: Cross multiply
    35,269x = 75,391 × 75,391
  4. Step 4: Simplify right side
    35,269x = 5,683,802,881
  5. Step 5: Solve for x
    x = 5,683,802,881/35,269
  6. Step 6: Final answer
    x = 161,155.77

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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.