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Finding the Third Proportional to 120,695 and 182,986.50

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Solution

The third proportional to 120,695 and 182,986.50 is: 277,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,695 : 182,986.50 = 182,986.50 : x
  2. Step 2: Convert to fraction form
    120,695/182,986.50 = 182,986.50/x
  3. Step 3: Cross multiply
    120,695x = 182,986.50 × 182,986.50
  4. Step 4: Simplify right side
    120,695x = 33,484,059,182.25
  5. Step 5: Solve for x
    x = 33,484,059,182.25/120,695
  6. Step 6: Final answer
    x = 277,427.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.