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Finding the Third Proportional to 78,157 and 182,749

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Solution

The third proportional to 78,157 and 182,749 is: 427,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157 : 182,749 = 182,749 : x
  2. Step 2: Convert to fraction form
    78,157/182,749 = 182,749/x
  3. Step 3: Cross multiply
    78,157x = 182,749 × 182,749
  4. Step 4: Simplify right side
    78,157x = 33,397,197,001
  5. Step 5: Solve for x
    x = 33,397,197,001/78,157
  6. Step 6: Final answer
    x = 427,309.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.