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Finding the Third Proportional to 97,818 and 155,481.75

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Solution

The third proportional to 97,818 and 155,481.75 is: 247,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,818 : 155,481.75 = 155,481.75 : x
  2. Step 2: Convert to fraction form
    97,818/155,481.75 = 155,481.75/x
  3. Step 3: Cross multiply
    97,818x = 155,481.75 × 155,481.75
  4. Step 4: Simplify right side
    97,818x = 24,174,574,583.06
  5. Step 5: Solve for x
    x = 24,174,574,583.06/97,818
  6. Step 6: Final answer
    x = 247,138.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.