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Finding the Third Proportional to 60,905.25 and 82,967.63

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Solution

The third proportional to 60,905.25 and 82,967.63 is: 113,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,905.25 : 82,967.63 = 82,967.63 : x
  2. Step 2: Convert to fraction form
    60,905.25/82,967.63 = 82,967.63/x
  3. Step 3: Cross multiply
    60,905.25x = 82,967.63 × 82,967.63
  4. Step 4: Simplify right side
    60,905.25x = 6,883,626,798.14
  5. Step 5: Solve for x
    x = 6,883,626,798.14/60,905.25
  6. Step 6: Final answer
    x = 113,021.90

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.