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Finding the Third Proportional to 90,045 and 120,838.50

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Solution

The third proportional to 90,045 and 120,838.50 is: 162,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,045 : 120,838.50 = 120,838.50 : x
  2. Step 2: Convert to fraction form
    90,045/120,838.50 = 120,838.50/x
  3. Step 3: Cross multiply
    90,045x = 120,838.50 × 120,838.50
  4. Step 4: Simplify right side
    90,045x = 14,601,943,082.25
  5. Step 5: Solve for x
    x = 14,601,943,082.25/90,045
  6. Step 6: Final answer
    x = 162,162.73

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.