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Finding the Third Proportional to 142,629.19 and 213,495.75

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Solution

The third proportional to 142,629.19 and 213,495.75 is: 319,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,629.19 : 213,495.75 = 213,495.75 : x
  2. Step 2: Convert to fraction form
    142,629.19/213,495.75 = 213,495.75/x
  3. Step 3: Cross multiply
    142,629.19x = 213,495.75 × 213,495.75
  4. Step 4: Simplify right side
    142,629.19x = 45,580,435,268.06
  5. Step 5: Solve for x
    x = 45,580,435,268.06/142,629.19
  6. Step 6: Final answer
    x = 319,572.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.