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Finding the Third Proportional to 116,806 and 183,026

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Solution

The third proportional to 116,806 and 183,026 is: 286,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,806 : 183,026 = 183,026 : x
  2. Step 2: Convert to fraction form
    116,806/183,026 = 183,026/x
  3. Step 3: Cross multiply
    116,806x = 183,026 × 183,026
  4. Step 4: Simplify right side
    116,806x = 33,498,516,676
  5. Step 5: Solve for x
    x = 33,498,516,676/116,806
  6. Step 6: Final answer
    x = 286,787.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.