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Finding the Third Proportional to 66,964.50 and 90,946

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Solution

The third proportional to 66,964.50 and 90,946 is: 123,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,964.50 : 90,946 = 90,946 : x
  2. Step 2: Convert to fraction form
    66,964.50/90,946 = 90,946/x
  3. Step 3: Cross multiply
    66,964.50x = 90,946 × 90,946
  4. Step 4: Simplify right side
    66,964.50x = 8,271,174,916
  5. Step 5: Solve for x
    x = 8,271,174,916/66,964.50
  6. Step 6: Final answer
    x = 123,515.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.