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Finding the Third Proportional to 49,947 and 70,258.50

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Solution

The third proportional to 49,947 and 70,258.50 is: 98,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,947 : 70,258.50 = 70,258.50 : x
  2. Step 2: Convert to fraction form
    49,947/70,258.50 = 70,258.50/x
  3. Step 3: Cross multiply
    49,947x = 70,258.50 × 70,258.50
  4. Step 4: Simplify right side
    49,947x = 4,936,256,822.25
  5. Step 5: Solve for x
    x = 4,936,256,822.25/49,947
  6. Step 6: Final answer
    x = 98,829.90

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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.