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Finding the Third Proportional to 122,691 and 173,986.50

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Solution

The third proportional to 122,691 and 173,986.50 is: 246,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,691 : 173,986.50 = 173,986.50 : x
  2. Step 2: Convert to fraction form
    122,691/173,986.50 = 173,986.50/x
  3. Step 3: Cross multiply
    122,691x = 173,986.50 × 173,986.50
  4. Step 4: Simplify right side
    122,691x = 30,271,302,182.25
  5. Step 5: Solve for x
    x = 30,271,302,182.25/122,691
  6. Step 6: Final answer
    x = 246,727.98

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.