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Finding the Third Proportional to 67,093 and 106,106

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Solution

The third proportional to 67,093 and 106,106 is: 167,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,093 : 106,106 = 106,106 : x
  2. Step 2: Convert to fraction form
    67,093/106,106 = 106,106/x
  3. Step 3: Cross multiply
    67,093x = 106,106 × 106,106
  4. Step 4: Simplify right side
    67,093x = 11,258,483,236
  5. Step 5: Solve for x
    x = 11,258,483,236/67,093
  6. Step 6: Final answer
    x = 167,804.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.