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Finding the Third Proportional to 29,441 and 60,178

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Solution

The third proportional to 29,441 and 60,178 is: 123,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,441 : 60,178 = 60,178 : x
  2. Step 2: Convert to fraction form
    29,441/60,178 = 60,178/x
  3. Step 3: Cross multiply
    29,441x = 60,178 × 60,178
  4. Step 4: Simplify right side
    29,441x = 3,621,391,684
  5. Step 5: Solve for x
    x = 3,621,391,684/29,441
  6. Step 6: Final answer
    x = 123,005.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.