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Finding the Third Proportional to 57,468 and 118,914

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Solution

The third proportional to 57,468 and 118,914 is: 246,059.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468 : 118,914 = 118,914 : x
  2. Step 2: Convert to fraction form
    57,468/118,914 = 118,914/x
  3. Step 3: Cross multiply
    57,468x = 118,914 × 118,914
  4. Step 4: Simplify right side
    57,468x = 14,140,539,396
  5. Step 5: Solve for x
    x = 14,140,539,396/57,468
  6. Step 6: Final answer
    x = 246,059.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.