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Finding the Third Proportional to 65,904.50 and 141,821.50

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Solution

The third proportional to 65,904.50 and 141,821.50 is: 305,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,904.50 : 141,821.50 = 141,821.50 : x
  2. Step 2: Convert to fraction form
    65,904.50/141,821.50 = 141,821.50/x
  3. Step 3: Cross multiply
    65,904.50x = 141,821.50 × 141,821.50
  4. Step 4: Simplify right side
    65,904.50x = 20,113,337,862.25
  5. Step 5: Solve for x
    x = 20,113,337,862.25/65,904.50
  6. Step 6: Final answer
    x = 305,189.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.