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Finding the Third Proportional to 50,531 and 70,078

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Solution

The third proportional to 50,531 and 70,078 is: 97,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,531 : 70,078 = 70,078 : x
  2. Step 2: Convert to fraction form
    50,531/70,078 = 70,078/x
  3. Step 3: Cross multiply
    50,531x = 70,078 × 70,078
  4. Step 4: Simplify right side
    50,531x = 4,910,926,084
  5. Step 5: Solve for x
    x = 4,910,926,084/50,531
  6. Step 6: Final answer
    x = 97,186.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.