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Finding the Third Proportional to 78,126 and 161,790.75

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Solution

The third proportional to 78,126 and 161,790.75 is: 335,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126 : 161,790.75 = 161,790.75 : x
  2. Step 2: Convert to fraction form
    78,126/161,790.75 = 161,790.75/x
  3. Step 3: Cross multiply
    78,126x = 161,790.75 × 161,790.75
  4. Step 4: Simplify right side
    78,126x = 26,176,246,785.56
  5. Step 5: Solve for x
    x = 26,176,246,785.56/78,126
  6. Step 6: Final answer
    x = 335,051.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.