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Finding the Third Proportional to 74,169 and 115,057

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Solution

The third proportional to 74,169 and 115,057 is: 178,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,169 : 115,057 = 115,057 : x
  2. Step 2: Convert to fraction form
    74,169/115,057 = 115,057/x
  3. Step 3: Cross multiply
    74,169x = 115,057 × 115,057
  4. Step 4: Simplify right side
    74,169x = 13,238,113,249
  5. Step 5: Solve for x
    x = 13,238,113,249/74,169
  6. Step 6: Final answer
    x = 178,485.80

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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.