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Finding the Third Proportional to 50,114 and 70,059

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Solution

The third proportional to 50,114 and 70,059 is: 97,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,114 : 70,059 = 70,059 : x
  2. Step 2: Convert to fraction form
    50,114/70,059 = 70,059/x
  3. Step 3: Cross multiply
    50,114x = 70,059 × 70,059
  4. Step 4: Simplify right side
    50,114x = 4,908,263,481
  5. Step 5: Solve for x
    x = 4,908,263,481/50,114
  6. Step 6: Final answer
    x = 97,941.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.