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Finding the Third Proportional to 57,045 and 133,282.50

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Solution

The third proportional to 57,045 and 133,282.50 is: 311,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,045 : 133,282.50 = 133,282.50 : x
  2. Step 2: Convert to fraction form
    57,045/133,282.50 = 133,282.50/x
  3. Step 3: Cross multiply
    57,045x = 133,282.50 × 133,282.50
  4. Step 4: Simplify right side
    57,045x = 17,764,224,806.25
  5. Step 5: Solve for x
    x = 17,764,224,806.25/57,045
  6. Step 6: Final answer
    x = 311,407.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.