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Finding the Third Proportional to 86,172.75 and 124,114.50

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Solution

The third proportional to 86,172.75 and 124,114.50 is: 178,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,172.75 : 124,114.50 = 124,114.50 : x
  2. Step 2: Convert to fraction form
    86,172.75/124,114.50 = 124,114.50/x
  3. Step 3: Cross multiply
    86,172.75x = 124,114.50 × 124,114.50
  4. Step 4: Simplify right side
    86,172.75x = 15,404,409,110.25
  5. Step 5: Solve for x
    x = 15,404,409,110.25/86,172.75
  6. Step 6: Final answer
    x = 178,761.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.