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Finding the Third Proportional to 74,200 and 174,979

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Solution

The third proportional to 74,200 and 174,979 is: 412,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,200 : 174,979 = 174,979 : x
  2. Step 2: Convert to fraction form
    74,200/174,979 = 174,979/x
  3. Step 3: Cross multiply
    74,200x = 174,979 × 174,979
  4. Step 4: Simplify right side
    74,200x = 30,617,650,441
  5. Step 5: Solve for x
    x = 30,617,650,441/74,200
  6. Step 6: Final answer
    x = 412,636.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.