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Finding the Third Proportional to 77,766.75 and 109,587.75

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Solution

The third proportional to 77,766.75 and 109,587.75 is: 154,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,766.75 : 109,587.75 = 109,587.75 : x
  2. Step 2: Convert to fraction form
    77,766.75/109,587.75 = 109,587.75/x
  3. Step 3: Cross multiply
    77,766.75x = 109,587.75 × 109,587.75
  4. Step 4: Simplify right side
    77,766.75x = 12,009,474,950.06
  5. Step 5: Solve for x
    x = 12,009,474,950.06/77,766.75
  6. Step 6: Final answer
    x = 154,429.43

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.