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Finding the Third Proportional to 40,907 and 89,095

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Solution

The third proportional to 40,907 and 89,095 is: 194,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,907 : 89,095 = 89,095 : x
  2. Step 2: Convert to fraction form
    40,907/89,095 = 89,095/x
  3. Step 3: Cross multiply
    40,907x = 89,095 × 89,095
  4. Step 4: Simplify right side
    40,907x = 7,937,919,025
  5. Step 5: Solve for x
    x = 7,937,919,025/40,907
  6. Step 6: Final answer
    x = 194,047.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.