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Finding the Third Proportional to 35,218 and 75,559

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Solution

The third proportional to 35,218 and 75,559 is: 162,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218 : 75,559 = 75,559 : x
  2. Step 2: Convert to fraction form
    35,218/75,559 = 75,559/x
  3. Step 3: Cross multiply
    35,218x = 75,559 × 75,559
  4. Step 4: Simplify right side
    35,218x = 5,709,162,481
  5. Step 5: Solve for x
    x = 5,709,162,481/35,218
  6. Step 6: Final answer
    x = 162,109.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.