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Finding the Third Proportional to 50,317 and 74,017

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Solution

The third proportional to 50,317 and 74,017 is: 108,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,317 : 74,017 = 74,017 : x
  2. Step 2: Convert to fraction form
    50,317/74,017 = 74,017/x
  3. Step 3: Cross multiply
    50,317x = 74,017 × 74,017
  4. Step 4: Simplify right side
    50,317x = 5,478,516,289
  5. Step 5: Solve for x
    x = 5,478,516,289/50,317
  6. Step 6: Final answer
    x = 108,880.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.