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Finding the Third Proportional to 45,842 and 69,066.50

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Solution

The third proportional to 45,842 and 69,066.50 is: 104,057.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,842 : 69,066.50 = 69,066.50 : x
  2. Step 2: Convert to fraction form
    45,842/69,066.50 = 69,066.50/x
  3. Step 3: Cross multiply
    45,842x = 69,066.50 × 69,066.50
  4. Step 4: Simplify right side
    45,842x = 4,770,181,422.25
  5. Step 5: Solve for x
    x = 4,770,181,422.25/45,842
  6. Step 6: Final answer
    x = 104,057.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.