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Finding the Third Proportional to 137,173.50 and 202,072.50

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Solution

The third proportional to 137,173.50 and 202,072.50 is: 297,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,173.50 : 202,072.50 = 202,072.50 : x
  2. Step 2: Convert to fraction form
    137,173.50/202,072.50 = 202,072.50/x
  3. Step 3: Cross multiply
    137,173.50x = 202,072.50 × 202,072.50
  4. Step 4: Simplify right side
    137,173.50x = 40,833,295,256.25
  5. Step 5: Solve for x
    x = 40,833,295,256.25/137,173.50
  6. Step 6: Final answer
    x = 297,676.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.