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Finding the Third Proportional to 49,931 and 70,231.50

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Solution

The third proportional to 49,931 and 70,231.50 is: 98,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,931 : 70,231.50 = 70,231.50 : x
  2. Step 2: Convert to fraction form
    49,931/70,231.50 = 70,231.50/x
  3. Step 3: Cross multiply
    49,931x = 70,231.50 × 70,231.50
  4. Step 4: Simplify right side
    49,931x = 4,932,463,592.25
  5. Step 5: Solve for x
    x = 4,932,463,592.25/49,931
  6. Step 6: Final answer
    x = 98,785.60

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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.