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Finding the Third Proportional to 35,735 and 76,219

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Solution

The third proportional to 35,735 and 76,219 is: 162,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,735 : 76,219 = 76,219 : x
  2. Step 2: Convert to fraction form
    35,735/76,219 = 76,219/x
  3. Step 3: Cross multiply
    35,735x = 76,219 × 76,219
  4. Step 4: Simplify right side
    35,735x = 5,809,335,961
  5. Step 5: Solve for x
    x = 5,809,335,961/35,735
  6. Step 6: Final answer
    x = 162,567.12

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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.