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Finding the Third Proportional to 51,447 and 112,741

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Solution

The third proportional to 51,447 and 112,741 is: 247,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,447 : 112,741 = 112,741 : x
  2. Step 2: Convert to fraction form
    51,447/112,741 = 112,741/x
  3. Step 3: Cross multiply
    51,447x = 112,741 × 112,741
  4. Step 4: Simplify right side
    51,447x = 12,710,533,081
  5. Step 5: Solve for x
    x = 12,710,533,081/51,447
  6. Step 6: Final answer
    x = 247,060.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.