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Finding the Third Proportional to 114,814 and 181,023

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Solution

The third proportional to 114,814 and 181,023 is: 285,412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,814 : 181,023 = 181,023 : x
  2. Step 2: Convert to fraction form
    114,814/181,023 = 181,023/x
  3. Step 3: Cross multiply
    114,814x = 181,023 × 181,023
  4. Step 4: Simplify right side
    114,814x = 32,769,326,529
  5. Step 5: Solve for x
    x = 32,769,326,529/114,814
  6. Step 6: Final answer
    x = 285,412.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.