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Finding the Third Proportional to 64,974 and 95,155

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Solution

The third proportional to 64,974 and 95,155 is: 139,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,974 : 95,155 = 95,155 : x
  2. Step 2: Convert to fraction form
    64,974/95,155 = 95,155/x
  3. Step 3: Cross multiply
    64,974x = 95,155 × 95,155
  4. Step 4: Simplify right side
    64,974x = 9,054,474,025
  5. Step 5: Solve for x
    x = 9,054,474,025/64,974
  6. Step 6: Final answer
    x = 139,355.34

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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.