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Finding the Third Proportional to 96,993 and 136,903.50

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Solution

The third proportional to 96,993 and 136,903.50 is: 193,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,993 : 136,903.50 = 136,903.50 : x
  2. Step 2: Convert to fraction form
    96,993/136,903.50 = 136,903.50/x
  3. Step 3: Cross multiply
    96,993x = 136,903.50 × 136,903.50
  4. Step 4: Simplify right side
    96,993x = 18,742,568,312.25
  5. Step 5: Solve for x
    x = 18,742,568,312.25/96,993
  6. Step 6: Final answer
    x = 193,236.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.