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Finding the Third Proportional to 65,173.78 and 142,801.31

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Solution

The third proportional to 65,173.78 and 142,801.31 is: 312,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,173.78 : 142,801.31 = 142,801.31 : x
  2. Step 2: Convert to fraction form
    65,173.78/142,801.31 = 142,801.31/x
  3. Step 3: Cross multiply
    65,173.78x = 142,801.31 × 142,801.31
  4. Step 4: Simplify right side
    65,173.78x = 20,392,214,851.72
  5. Step 5: Solve for x
    x = 20,392,214,851.72/65,173.78
  6. Step 6: Final answer
    x = 312,889.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.