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Finding the Third Proportional to 40,316 and 85,114

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Solution

The third proportional to 40,316 and 85,114 is: 179,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,316 : 85,114 = 85,114 : x
  2. Step 2: Convert to fraction form
    40,316/85,114 = 85,114/x
  3. Step 3: Cross multiply
    40,316x = 85,114 × 85,114
  4. Step 4: Simplify right side
    40,316x = 7,244,392,996
  5. Step 5: Solve for x
    x = 7,244,392,996/40,316
  6. Step 6: Final answer
    x = 179,690.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.