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Finding the Third Proportional to 66,093 and 137,658

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Solution

The third proportional to 66,093 and 137,658 is: 286,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,093 : 137,658 = 137,658 : x
  2. Step 2: Convert to fraction form
    66,093/137,658 = 137,658/x
  3. Step 3: Cross multiply
    66,093x = 137,658 × 137,658
  4. Step 4: Simplify right side
    66,093x = 18,949,724,964
  5. Step 5: Solve for x
    x = 18,949,724,964/66,093
  6. Step 6: Final answer
    x = 286,713.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.