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Finding the Third Proportional to 51,790 and 112,328

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Solution

The third proportional to 51,790 and 112,328 is: 243,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,790 : 112,328 = 112,328 : x
  2. Step 2: Convert to fraction form
    51,790/112,328 = 112,328/x
  3. Step 3: Cross multiply
    51,790x = 112,328 × 112,328
  4. Step 4: Simplify right side
    51,790x = 12,617,579,584
  5. Step 5: Solve for x
    x = 12,617,579,584/51,790
  6. Step 6: Final answer
    x = 243,629.65

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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.