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Finding the Third Proportional to 103,404.09 and 158,113.27

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Solution

The third proportional to 103,404.09 and 158,113.27 is: 241,768.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,404.09 : 158,113.27 = 158,113.27 : x
  2. Step 2: Convert to fraction form
    103,404.09/158,113.27 = 158,113.27/x
  3. Step 3: Cross multiply
    103,404.09x = 158,113.27 × 158,113.27
  4. Step 4: Simplify right side
    103,404.09x = 24,999,804,766.60
  5. Step 5: Solve for x
    x = 24,999,804,766.60/103,404.09
  6. Step 6: Final answer
    x = 241,768.04

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.