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Finding the Third Proportional to 78,480 and 120,075

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Solution

The third proportional to 78,480 and 120,075 is: 183,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,480 : 120,075 = 120,075 : x
  2. Step 2: Convert to fraction form
    78,480/120,075 = 120,075/x
  3. Step 3: Cross multiply
    78,480x = 120,075 × 120,075
  4. Step 4: Simplify right side
    78,480x = 14,418,005,625
  5. Step 5: Solve for x
    x = 14,418,005,625/78,480
  6. Step 6: Final answer
    x = 183,715.67

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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.