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Finding the Third Proportional to 27,064 and 62,156

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Solution

The third proportional to 27,064 and 62,156 is: 142,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064 : 62,156 = 62,156 : x
  2. Step 2: Convert to fraction form
    27,064/62,156 = 62,156/x
  3. Step 3: Cross multiply
    27,064x = 62,156 × 62,156
  4. Step 4: Simplify right side
    27,064x = 3,863,368,336
  5. Step 5: Solve for x
    x = 3,863,368,336/27,064
  6. Step 6: Final answer
    x = 142,749.35

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.