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Finding the Third Proportional to 70,965 and 98,671.50

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Solution

The third proportional to 70,965 and 98,671.50 is: 137,195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,965 : 98,671.50 = 98,671.50 : x
  2. Step 2: Convert to fraction form
    70,965/98,671.50 = 98,671.50/x
  3. Step 3: Cross multiply
    70,965x = 98,671.50 × 98,671.50
  4. Step 4: Simplify right side
    70,965x = 9,736,064,912.25
  5. Step 5: Solve for x
    x = 9,736,064,912.25/70,965
  6. Step 6: Final answer
    x = 137,195.31

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