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Finding the Third Proportional to 90,927 and 122,311.50

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Solution

The third proportional to 90,927 and 122,311.50 is: 164,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,927 : 122,311.50 = 122,311.50 : x
  2. Step 2: Convert to fraction form
    90,927/122,311.50 = 122,311.50/x
  3. Step 3: Cross multiply
    90,927x = 122,311.50 × 122,311.50
  4. Step 4: Simplify right side
    90,927x = 14,960,103,032.25
  5. Step 5: Solve for x
    x = 14,960,103,032.25/90,927
  6. Step 6: Final answer
    x = 164,528.72

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.