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Finding the Third Proportional to 103,890 and 162,733.50

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Solution

The third proportional to 103,890 and 162,733.50 is: 254,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,890 : 162,733.50 = 162,733.50 : x
  2. Step 2: Convert to fraction form
    103,890/162,733.50 = 162,733.50/x
  3. Step 3: Cross multiply
    103,890x = 162,733.50 × 162,733.50
  4. Step 4: Simplify right side
    103,890x = 26,482,192,022.25
  5. Step 5: Solve for x
    x = 26,482,192,022.25/103,890
  6. Step 6: Final answer
    x = 254,906.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.