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Finding the Third Proportional to 102,993.50 and 137,946.25

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Solution

The third proportional to 102,993.50 and 137,946.25 is: 184,760.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,993.50 : 137,946.25 = 137,946.25 : x
  2. Step 2: Convert to fraction form
    102,993.50/137,946.25 = 137,946.25/x
  3. Step 3: Cross multiply
    102,993.50x = 137,946.25 × 137,946.25
  4. Step 4: Simplify right side
    102,993.50x = 19,029,167,889.06
  5. Step 5: Solve for x
    x = 19,029,167,889.06/102,993.50
  6. Step 6: Final answer
    x = 184,760.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.