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Finding the Third Proportional to 65,014.50 and 141,922.50

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Solution

The third proportional to 65,014.50 and 141,922.50 is: 309,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.50 : 141,922.50 = 141,922.50 : x
  2. Step 2: Convert to fraction form
    65,014.50/141,922.50 = 141,922.50/x
  3. Step 3: Cross multiply
    65,014.50x = 141,922.50 × 141,922.50
  4. Step 4: Simplify right side
    65,014.50x = 20,141,996,006.25
  5. Step 5: Solve for x
    x = 20,141,996,006.25/65,014.50
  6. Step 6: Final answer
    x = 309,807.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.