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Finding the Third Proportional to 125,388 and 184,072.50

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Solution

The third proportional to 125,388 and 184,072.50 is: 270,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,388 : 184,072.50 = 184,072.50 : x
  2. Step 2: Convert to fraction form
    125,388/184,072.50 = 184,072.50/x
  3. Step 3: Cross multiply
    125,388x = 184,072.50 × 184,072.50
  4. Step 4: Simplify right side
    125,388x = 33,882,685,256.25
  5. Step 5: Solve for x
    x = 33,882,685,256.25/125,388
  6. Step 6: Final answer
    x = 270,222.71

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