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Finding the Third Proportional to 86,172 and 124,114.50

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Solution

The third proportional to 86,172 and 124,114.50 is: 178,763.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,172 : 124,114.50 = 124,114.50 : x
  2. Step 2: Convert to fraction form
    86,172/124,114.50 = 124,114.50/x
  3. Step 3: Cross multiply
    86,172x = 124,114.50 × 124,114.50
  4. Step 4: Simplify right side
    86,172x = 15,404,409,110.25
  5. Step 5: Solve for x
    x = 15,404,409,110.25/86,172
  6. Step 6: Final answer
    x = 178,763.51

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