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Finding the Third Proportional to 42,147 and 65,255.63

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Solution

The third proportional to 42,147 and 65,255.63 is: 101,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,147 : 65,255.63 = 65,255.63 : x
  2. Step 2: Convert to fraction form
    42,147/65,255.63 = 65,255.63/x
  3. Step 3: Cross multiply
    42,147x = 65,255.63 × 65,255.63
  4. Step 4: Simplify right side
    42,147x = 4,258,296,594.14
  5. Step 5: Solve for x
    x = 4,258,296,594.14/42,147
  6. Step 6: Final answer
    x = 101,034.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.