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Finding the Third Proportional to 102,805.75 and 161,308.75

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Solution

The third proportional to 102,805.75 and 161,308.75 is: 253,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,805.75 : 161,308.75 = 161,308.75 : x
  2. Step 2: Convert to fraction form
    102,805.75/161,308.75 = 161,308.75/x
  3. Step 3: Cross multiply
    102,805.75x = 161,308.75 × 161,308.75
  4. Step 4: Simplify right side
    102,805.75x = 26,020,512,826.56
  5. Step 5: Solve for x
    x = 26,020,512,826.56/102,805.75
  6. Step 6: Final answer
    x = 253,103.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.