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Finding the Third Proportional to 30,204.56 and 68,242.50

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Solution

The third proportional to 30,204.56 and 68,242.50 is: 154,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.56 : 68,242.50 = 68,242.50 : x
  2. Step 2: Convert to fraction form
    30,204.56/68,242.50 = 68,242.50/x
  3. Step 3: Cross multiply
    30,204.56x = 68,242.50 × 68,242.50
  4. Step 4: Simplify right side
    30,204.56x = 4,657,038,806.25
  5. Step 5: Solve for x
    x = 4,657,038,806.25/30,204.56
  6. Step 6: Final answer
    x = 154,183.29

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.