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Finding the Third Proportional to 93,676.50 and 137,234.25

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Solution

The third proportional to 93,676.50 and 137,234.25 is: 201,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,676.50 : 137,234.25 = 137,234.25 : x
  2. Step 2: Convert to fraction form
    93,676.50/137,234.25 = 137,234.25/x
  3. Step 3: Cross multiply
    93,676.50x = 137,234.25 × 137,234.25
  4. Step 4: Simplify right side
    93,676.50x = 18,833,239,373.06
  5. Step 5: Solve for x
    x = 18,833,239,373.06/93,676.50
  6. Step 6: Final answer
    x = 201,045.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.