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Finding the Third Proportional to 35,616 and 75,998

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Solution

The third proportional to 35,616 and 75,998 is: 162,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,616 : 75,998 = 75,998 : x
  2. Step 2: Convert to fraction form
    35,616/75,998 = 75,998/x
  3. Step 3: Cross multiply
    35,616x = 75,998 × 75,998
  4. Step 4: Simplify right side
    35,616x = 5,775,696,004
  5. Step 5: Solve for x
    x = 5,775,696,004/35,616
  6. Step 6: Final answer
    x = 162,165.77

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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.