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Finding the Third Proportional to 134,091 and 184,711.50

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Solution

The third proportional to 134,091 and 184,711.50 is: 254,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,091 : 184,711.50 = 184,711.50 : x
  2. Step 2: Convert to fraction form
    134,091/184,711.50 = 184,711.50/x
  3. Step 3: Cross multiply
    134,091x = 184,711.50 × 184,711.50
  4. Step 4: Simplify right side
    134,091x = 34,118,338,232.25
  5. Step 5: Solve for x
    x = 34,118,338,232.25/134,091
  6. Step 6: Final answer
    x = 254,441.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.