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Finding the Third Proportional to 29,346 and 61,124

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Solution

The third proportional to 29,346 and 61,124 is: 127,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,346 : 61,124 = 61,124 : x
  2. Step 2: Convert to fraction form
    29,346/61,124 = 61,124/x
  3. Step 3: Cross multiply
    29,346x = 61,124 × 61,124
  4. Step 4: Simplify right side
    29,346x = 3,736,143,376
  5. Step 5: Solve for x
    x = 3,736,143,376/29,346
  6. Step 6: Final answer
    x = 127,313.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.