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Finding the Third Proportional to 122,776.31 and 183,408.19

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Solution

The third proportional to 122,776.31 and 183,408.19 is: 273,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,776.31 : 183,408.19 = 183,408.19 : x
  2. Step 2: Convert to fraction form
    122,776.31/183,408.19 = 183,408.19/x
  3. Step 3: Cross multiply
    122,776.31x = 183,408.19 × 183,408.19
  4. Step 4: Simplify right side
    122,776.31x = 33,638,563,242.04
  5. Step 5: Solve for x
    x = 33,638,563,242.04/122,776.31
  6. Step 6: Final answer
    x = 273,982.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.