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Finding the Third Proportional to 66,946 and 91,797

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Solution

The third proportional to 66,946 and 91,797 is: 125,872.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,946 : 91,797 = 91,797 : x
  2. Step 2: Convert to fraction form
    66,946/91,797 = 91,797/x
  3. Step 3: Cross multiply
    66,946x = 91,797 × 91,797
  4. Step 4: Simplify right side
    66,946x = 8,426,689,209
  5. Step 5: Solve for x
    x = 8,426,689,209/66,946
  6. Step 6: Final answer
    x = 125,872.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.