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Finding the Third Proportional to 51,417 and 112,674

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Solution

The third proportional to 51,417 and 112,674 is: 246,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,417 : 112,674 = 112,674 : x
  2. Step 2: Convert to fraction form
    51,417/112,674 = 112,674/x
  3. Step 3: Cross multiply
    51,417x = 112,674 × 112,674
  4. Step 4: Simplify right side
    51,417x = 12,695,430,276
  5. Step 5: Solve for x
    x = 12,695,430,276/51,417
  6. Step 6: Final answer
    x = 246,911.14

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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.