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Finding the Third Proportional to 35,634 and 75,273

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Solution

The third proportional to 35,634 and 75,273 is: 159,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,634 : 75,273 = 75,273 : x
  2. Step 2: Convert to fraction form
    35,634/75,273 = 75,273/x
  3. Step 3: Cross multiply
    35,634x = 75,273 × 75,273
  4. Step 4: Simplify right side
    35,634x = 5,666,024,529
  5. Step 5: Solve for x
    x = 5,666,024,529/35,634
  6. Step 6: Final answer
    x = 159,006.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.