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Finding the Third Proportional to 106,072.50 and 155,544

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Solution

The third proportional to 106,072.50 and 155,544 is: 228,088.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,072.50 : 155,544 = 155,544 : x
  2. Step 2: Convert to fraction form
    106,072.50/155,544 = 155,544/x
  3. Step 3: Cross multiply
    106,072.50x = 155,544 × 155,544
  4. Step 4: Simplify right side
    106,072.50x = 24,193,935,936
  5. Step 5: Solve for x
    x = 24,193,935,936/106,072.50
  6. Step 6: Final answer
    x = 228,088.67

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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.