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Finding the Third Proportional to 78,054.75 and 169,232.63

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Solution

The third proportional to 78,054.75 and 169,232.63 is: 366,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,054.75 : 169,232.63 = 169,232.63 : x
  2. Step 2: Convert to fraction form
    78,054.75/169,232.63 = 169,232.63/x
  3. Step 3: Cross multiply
    78,054.75x = 169,232.63 × 169,232.63
  4. Step 4: Simplify right side
    78,054.75x = 28,639,681,364.39
  5. Step 5: Solve for x
    x = 28,639,681,364.39/78,054.75
  6. Step 6: Final answer
    x = 366,917.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.