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Finding the Third Proportional to 117,715.50 and 180,110.25

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Solution

The third proportional to 117,715.50 and 180,110.25 is: 275,577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,715.50 : 180,110.25 = 180,110.25 : x
  2. Step 2: Convert to fraction form
    117,715.50/180,110.25 = 180,110.25/x
  3. Step 3: Cross multiply
    117,715.50x = 180,110.25 × 180,110.25
  4. Step 4: Simplify right side
    117,715.50x = 32,439,702,155.06
  5. Step 5: Solve for x
    x = 32,439,702,155.06/117,715.50
  6. Step 6: Final answer
    x = 275,577.15

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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.