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Finding the Third Proportional to 70,519.50 and 146,871

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Solution

The third proportional to 70,519.50 and 146,871 is: 305,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,519.50 : 146,871 = 146,871 : x
  2. Step 2: Convert to fraction form
    70,519.50/146,871 = 146,871/x
  3. Step 3: Cross multiply
    70,519.50x = 146,871 × 146,871
  4. Step 4: Simplify right side
    70,519.50x = 21,571,090,641
  5. Step 5: Solve for x
    x = 21,571,090,641/70,519.50
  6. Step 6: Final answer
    x = 305,888.31

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.