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Finding the Third Proportional to 66,008.75 and 141,968.50

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Solution

The third proportional to 66,008.75 and 141,968.50 is: 305,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,008.75 : 141,968.50 = 141,968.50 : x
  2. Step 2: Convert to fraction form
    66,008.75/141,968.50 = 141,968.50/x
  3. Step 3: Cross multiply
    66,008.75x = 141,968.50 × 141,968.50
  4. Step 4: Simplify right side
    66,008.75x = 20,155,054,992.25
  5. Step 5: Solve for x
    x = 20,155,054,992.25/66,008.75
  6. Step 6: Final answer
    x = 305,339.14

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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.