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Finding the Third Proportional to 29,178 and 61,848

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Solution

The third proportional to 29,178 and 61,848 is: 131,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,178 : 61,848 = 61,848 : x
  2. Step 2: Convert to fraction form
    29,178/61,848 = 61,848/x
  3. Step 3: Cross multiply
    29,178x = 61,848 × 61,848
  4. Step 4: Simplify right side
    29,178x = 3,825,175,104
  5. Step 5: Solve for x
    x = 3,825,175,104/29,178
  6. Step 6: Final answer
    x = 131,097.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.