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Finding the Third Proportional to 57,611.25 and 133,457.63

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Solution

The third proportional to 57,611.25 and 133,457.63 is: 309,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,611.25 : 133,457.63 = 133,457.63 : x
  2. Step 2: Convert to fraction form
    57,611.25/133,457.63 = 133,457.63/x
  3. Step 3: Cross multiply
    57,611.25x = 133,457.63 × 133,457.63
  4. Step 4: Simplify right side
    57,611.25x = 17,810,937,670.64
  5. Step 5: Solve for x
    x = 17,810,937,670.64/57,611.25
  6. Step 6: Final answer
    x = 309,157.29

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.