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Finding the Third Proportional to 51,470 and 111,628

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Solution

The third proportional to 51,470 and 111,628 is: 242,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,470 : 111,628 = 111,628 : x
  2. Step 2: Convert to fraction form
    51,470/111,628 = 111,628/x
  3. Step 3: Cross multiply
    51,470x = 111,628 × 111,628
  4. Step 4: Simplify right side
    51,470x = 12,460,810,384
  5. Step 5: Solve for x
    x = 12,460,810,384/51,470
  6. Step 6: Final answer
    x = 242,098.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.