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Finding the Third Proportional to 74,202 and 174,986

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Solution

The third proportional to 74,202 and 174,986 is: 412,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,202 : 174,986 = 174,986 : x
  2. Step 2: Convert to fraction form
    74,202/174,986 = 174,986/x
  3. Step 3: Cross multiply
    74,202x = 174,986 × 174,986
  4. Step 4: Simplify right side
    74,202x = 30,620,100,196
  5. Step 5: Solve for x
    x = 30,620,100,196/74,202
  6. Step 6: Final answer
    x = 412,658.69

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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.