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Finding the Third Proportional to 103,480.50 and 159,804

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Solution

The third proportional to 103,480.50 and 159,804 is: 246,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,480.50 : 159,804 = 159,804 : x
  2. Step 2: Convert to fraction form
    103,480.50/159,804 = 159,804/x
  3. Step 3: Cross multiply
    103,480.50x = 159,804 × 159,804
  4. Step 4: Simplify right side
    103,480.50x = 25,537,318,416
  5. Step 5: Solve for x
    x = 25,537,318,416/103,480.50
  6. Step 6: Final answer
    x = 246,783.87

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.