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Finding the Third Proportional to 50,024 and 70,356

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Solution

The third proportional to 50,024 and 70,356 is: 98,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,024 : 70,356 = 70,356 : x
  2. Step 2: Convert to fraction form
    50,024/70,356 = 70,356/x
  3. Step 3: Cross multiply
    50,024x = 70,356 × 70,356
  4. Step 4: Simplify right side
    50,024x = 4,949,966,736
  5. Step 5: Solve for x
    x = 4,949,966,736/50,024
  6. Step 6: Final answer
    x = 98,951.84

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.