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Finding the Third Proportional to 42,066 and 89,968.50

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Solution

The third proportional to 42,066 and 89,968.50 is: 192,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,066 : 89,968.50 = 89,968.50 : x
  2. Step 2: Convert to fraction form
    42,066/89,968.50 = 89,968.50/x
  3. Step 3: Cross multiply
    42,066x = 89,968.50 × 89,968.50
  4. Step 4: Simplify right side
    42,066x = 8,094,330,992.25
  5. Step 5: Solve for x
    x = 8,094,330,992.25/42,066
  6. Step 6: Final answer
    x = 192,419.79

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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.