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Finding the Third Proportional to 67,057 and 93,973

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Solution

The third proportional to 67,057 and 93,973 is: 131,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,057 : 93,973 = 93,973 : x
  2. Step 2: Convert to fraction form
    67,057/93,973 = 93,973/x
  3. Step 3: Cross multiply
    67,057x = 93,973 × 93,973
  4. Step 4: Simplify right side
    67,057x = 8,830,924,729
  5. Step 5: Solve for x
    x = 8,830,924,729/67,057
  6. Step 6: Final answer
    x = 131,692.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.