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Finding the Third Proportional to 66,837 and 94,038

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Solution

The third proportional to 66,837 and 94,038 is: 132,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,837 : 94,038 = 94,038 : x
  2. Step 2: Convert to fraction form
    66,837/94,038 = 94,038/x
  3. Step 3: Cross multiply
    66,837x = 94,038 × 94,038
  4. Step 4: Simplify right side
    66,837x = 8,843,145,444
  5. Step 5: Solve for x
    x = 8,843,145,444/66,837
  6. Step 6: Final answer
    x = 132,309.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.