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Finding the Third Proportional to 67,091 and 144,692.50

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Solution

The third proportional to 67,091 and 144,692.50 is: 312,052.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,091 : 144,692.50 = 144,692.50 : x
  2. Step 2: Convert to fraction form
    67,091/144,692.50 = 144,692.50/x
  3. Step 3: Cross multiply
    67,091x = 144,692.50 × 144,692.50
  4. Step 4: Simplify right side
    67,091x = 20,935,919,556.25
  5. Step 5: Solve for x
    x = 20,935,919,556.25/67,091
  6. Step 6: Final answer
    x = 312,052.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.