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Finding the Third Proportional to 65,383.50 and 141,603

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Solution

The third proportional to 65,383.50 and 141,603 is: 306,673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,383.50 : 141,603 = 141,603 : x
  2. Step 2: Convert to fraction form
    65,383.50/141,603 = 141,603/x
  3. Step 3: Cross multiply
    65,383.50x = 141,603 × 141,603
  4. Step 4: Simplify right side
    65,383.50x = 20,051,409,609
  5. Step 5: Solve for x
    x = 20,051,409,609/65,383.50
  6. Step 6: Final answer
    x = 306,673.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.