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Finding the Third Proportional to 78,366.94 and 121,080.66

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Solution

The third proportional to 78,366.94 and 121,080.66 is: 187,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,366.94 : 121,080.66 = 121,080.66 : x
  2. Step 2: Convert to fraction form
    78,366.94/121,080.66 = 121,080.66/x
  3. Step 3: Cross multiply
    78,366.94x = 121,080.66 × 121,080.66
  4. Step 4: Simplify right side
    78,366.94x = 14,660,525,317.93
  5. Step 5: Solve for x
    x = 14,660,525,317.93/78,366.94
  6. Step 6: Final answer
    x = 187,075.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.