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Finding the Third Proportional to 85,405 and 125,899.50

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Solution

The third proportional to 85,405 and 125,899.50 is: 185,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,405 : 125,899.50 = 125,899.50 : x
  2. Step 2: Convert to fraction form
    85,405/125,899.50 = 125,899.50/x
  3. Step 3: Cross multiply
    85,405x = 125,899.50 × 125,899.50
  4. Step 4: Simplify right side
    85,405x = 15,850,684,100.25
  5. Step 5: Solve for x
    x = 15,850,684,100.25/85,405
  6. Step 6: Final answer
    x = 185,594.33

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Why These Related Problems?

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