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Finding the Third Proportional to 40,935 and 88,095

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Solution

The third proportional to 40,935 and 88,095 is: 189,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,935 : 88,095 = 88,095 : x
  2. Step 2: Convert to fraction form
    40,935/88,095 = 88,095/x
  3. Step 3: Cross multiply
    40,935x = 88,095 × 88,095
  4. Step 4: Simplify right side
    40,935x = 7,760,729,025
  5. Step 5: Solve for x
    x = 7,760,729,025/40,935
  6. Step 6: Final answer
    x = 189,586.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.