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Finding the Third Proportional to 95,289.75 and 139,352.06

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Solution

The third proportional to 95,289.75 and 139,352.06 is: 203,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,289.75 : 139,352.06 = 139,352.06 : x
  2. Step 2: Convert to fraction form
    95,289.75/139,352.06 = 139,352.06/x
  3. Step 3: Cross multiply
    95,289.75x = 139,352.06 × 139,352.06
  4. Step 4: Simplify right side
    95,289.75x = 19,418,997,323.00
  5. Step 5: Solve for x
    x = 19,418,997,323.00/95,289.75
  6. Step 6: Final answer
    x = 203,788.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.