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Finding the Third Proportional to 74,169 and 117,923.25

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Solution

The third proportional to 74,169 and 117,923.25 is: 187,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,169 : 117,923.25 = 117,923.25 : x
  2. Step 2: Convert to fraction form
    74,169/117,923.25 = 117,923.25/x
  3. Step 3: Cross multiply
    74,169x = 117,923.25 × 117,923.25
  4. Step 4: Simplify right side
    74,169x = 13,905,892,890.56
  5. Step 5: Solve for x
    x = 13,905,892,890.56/74,169
  6. Step 6: Final answer
    x = 187,489.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.