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Finding the Third Proportional to 34,755.19 and 76,276.69

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Solution

The third proportional to 34,755.19 and 76,276.69 is: 167,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,755.19 : 76,276.69 = 76,276.69 : x
  2. Step 2: Convert to fraction form
    34,755.19/76,276.69 = 76,276.69/x
  3. Step 3: Cross multiply
    34,755.19x = 76,276.69 × 76,276.69
  4. Step 4: Simplify right side
    34,755.19x = 5,818,133,055.97
  5. Step 5: Solve for x
    x = 5,818,133,055.97/34,755.19
  6. Step 6: Final answer
    x = 167,403.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.