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Finding the Third Proportional to 116,895 and 167,147.50

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Solution

The third proportional to 116,895 and 167,147.50 is: 239,003.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,895 : 167,147.50 = 167,147.50 : x
  2. Step 2: Convert to fraction form
    116,895/167,147.50 = 167,147.50/x
  3. Step 3: Cross multiply
    116,895x = 167,147.50 × 167,147.50
  4. Step 4: Simplify right side
    116,895x = 27,938,286,756.25
  5. Step 5: Solve for x
    x = 27,938,286,756.25/116,895
  6. Step 6: Final answer
    x = 239,003.27

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.