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Finding the Third Proportional to 57,294 and 125,871.75

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Solution

The third proportional to 57,294 and 125,871.75 is: 276,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294 : 125,871.75 = 125,871.75 : x
  2. Step 2: Convert to fraction form
    57,294/125,871.75 = 125,871.75/x
  3. Step 3: Cross multiply
    57,294x = 125,871.75 × 125,871.75
  4. Step 4: Simplify right side
    57,294x = 15,843,697,448.06
  5. Step 5: Solve for x
    x = 15,843,697,448.06/57,294
  6. Step 6: Final answer
    x = 276,533.27

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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.