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Finding the Third Proportional to 78,766.17 and 121,069.05

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Solution

The third proportional to 78,766.17 and 121,069.05 is: 186,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,766.17 : 121,069.05 = 121,069.05 : x
  2. Step 2: Convert to fraction form
    78,766.17/121,069.05 = 121,069.05/x
  3. Step 3: Cross multiply
    78,766.17x = 121,069.05 × 121,069.05
  4. Step 4: Simplify right side
    78,766.17x = 14,657,716,002.92
  5. Step 5: Solve for x
    x = 14,657,716,002.92/78,766.17
  6. Step 6: Final answer
    x = 186,091.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.