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Finding the Third Proportional to 98,157 and 151,083

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Solution

The third proportional to 98,157 and 151,083 is: 232,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,157 : 151,083 = 151,083 : x
  2. Step 2: Convert to fraction form
    98,157/151,083 = 151,083/x
  3. Step 3: Cross multiply
    98,157x = 151,083 × 151,083
  4. Step 4: Simplify right side
    98,157x = 22,826,072,889
  5. Step 5: Solve for x
    x = 22,826,072,889/98,157
  6. Step 6: Final answer
    x = 232,546.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.