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Finding the Third Proportional to 56,191.75 and 123,457.75

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Solution

The third proportional to 56,191.75 and 123,457.75 is: 271,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,191.75 : 123,457.75 = 123,457.75 : x
  2. Step 2: Convert to fraction form
    56,191.75/123,457.75 = 123,457.75/x
  3. Step 3: Cross multiply
    56,191.75x = 123,457.75 × 123,457.75
  4. Step 4: Simplify right side
    56,191.75x = 15,241,816,035.06
  5. Step 5: Solve for x
    x = 15,241,816,035.06/56,191.75
  6. Step 6: Final answer
    x = 271,246.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.