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Finding the Third Proportional to 65,647.50 and 140,637

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Solution

The third proportional to 65,647.50 and 140,637 is: 301,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,647.50 : 140,637 = 140,637 : x
  2. Step 2: Convert to fraction form
    65,647.50/140,637 = 140,637/x
  3. Step 3: Cross multiply
    65,647.50x = 140,637 × 140,637
  4. Step 4: Simplify right side
    65,647.50x = 19,778,765,769
  5. Step 5: Solve for x
    x = 19,778,765,769/65,647.50
  6. Step 6: Final answer
    x = 301,287.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.