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Finding the Third Proportional to 84,731.06 and 127,104.19

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Solution

The third proportional to 84,731.06 and 127,104.19 is: 190,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,731.06 : 127,104.19 = 127,104.19 : x
  2. Step 2: Convert to fraction form
    84,731.06/127,104.19 = 127,104.19/x
  3. Step 3: Cross multiply
    84,731.06x = 127,104.19 × 127,104.19
  4. Step 4: Simplify right side
    84,731.06x = 16,155,474,480.04
  5. Step 5: Solve for x
    x = 16,155,474,480.04/84,731.06
  6. Step 6: Final answer
    x = 190,667.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.