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Finding the Third Proportional to 122,985 and 180,103.50

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Solution

The third proportional to 122,985 and 180,103.50 is: 263,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,985 : 180,103.50 = 180,103.50 : x
  2. Step 2: Convert to fraction form
    122,985/180,103.50 = 180,103.50/x
  3. Step 3: Cross multiply
    122,985x = 180,103.50 × 180,103.50
  4. Step 4: Simplify right side
    122,985x = 32,437,270,712.25
  5. Step 5: Solve for x
    x = 32,437,270,712.25/122,985
  6. Step 6: Final answer
    x = 263,749.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.