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Finding the Third Proportional to 57,338 and 118,724

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Solution

The third proportional to 57,338 and 118,724 is: 245,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,338 : 118,724 = 118,724 : x
  2. Step 2: Convert to fraction form
    57,338/118,724 = 118,724/x
  3. Step 3: Cross multiply
    57,338x = 118,724 × 118,724
  4. Step 4: Simplify right side
    57,338x = 14,095,388,176
  5. Step 5: Solve for x
    x = 14,095,388,176/57,338
  6. Step 6: Final answer
    x = 245,829.78

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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.