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Finding the Third Proportional to 114,511.50 and 150,582

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Solution

The third proportional to 114,511.50 and 150,582 is: 198,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,511.50 : 150,582 = 150,582 : x
  2. Step 2: Convert to fraction form
    114,511.50/150,582 = 150,582/x
  3. Step 3: Cross multiply
    114,511.50x = 150,582 × 150,582
  4. Step 4: Simplify right side
    114,511.50x = 22,674,938,724
  5. Step 5: Solve for x
    x = 22,674,938,724/114,511.50
  6. Step 6: Final answer
    x = 198,014.51

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.