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Finding the Third Proportional to 74,101 and 114,913

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Solution

The third proportional to 74,101 and 114,913 is: 178,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,101 : 114,913 = 114,913 : x
  2. Step 2: Convert to fraction form
    74,101/114,913 = 114,913/x
  3. Step 3: Cross multiply
    74,101x = 114,913 × 114,913
  4. Step 4: Simplify right side
    74,101x = 13,204,997,569
  5. Step 5: Solve for x
    x = 13,204,997,569/74,101
  6. Step 6: Final answer
    x = 178,202.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.