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Finding the Third Proportional to 50,126.34 and 66,817.41

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Solution

The third proportional to 50,126.34 and 66,817.41 is: 89,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,126.34 : 66,817.41 = 66,817.41 : x
  2. Step 2: Convert to fraction form
    50,126.34/66,817.41 = 66,817.41/x
  3. Step 3: Cross multiply
    50,126.34x = 66,817.41 × 66,817.41
  4. Step 4: Simplify right side
    50,126.34x = 4,464,565,777.98
  5. Step 5: Solve for x
    x = 4,464,565,777.98/50,126.34
  6. Step 6: Final answer
    x = 89,066.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.