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Finding the Third Proportional to 29,144 and 62,534

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Solution

The third proportional to 29,144 and 62,534 is: 134,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,144 : 62,534 = 62,534 : x
  2. Step 2: Convert to fraction form
    29,144/62,534 = 62,534/x
  3. Step 3: Cross multiply
    29,144x = 62,534 × 62,534
  4. Step 4: Simplify right side
    29,144x = 3,910,501,156
  5. Step 5: Solve for x
    x = 3,910,501,156/29,144
  6. Step 6: Final answer
    x = 134,178.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.