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Finding the Third Proportional to 94,314.38 and 142,126.31

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Solution

The third proportional to 94,314.38 and 142,126.31 is: 214,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,314.38 : 142,126.31 = 142,126.31 : x
  2. Step 2: Convert to fraction form
    94,314.38/142,126.31 = 142,126.31/x
  3. Step 3: Cross multiply
    94,314.38x = 142,126.31 × 142,126.31
  4. Step 4: Simplify right side
    94,314.38x = 20,199,888,704.85
  5. Step 5: Solve for x
    x = 20,199,888,704.85/94,314.38
  6. Step 6: Final answer
    x = 214,176.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.