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Finding the Third Proportional to 56,369 and 131,066

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Solution

The third proportional to 56,369 and 131,066 is: 304,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,369 : 131,066 = 131,066 : x
  2. Step 2: Convert to fraction form
    56,369/131,066 = 131,066/x
  3. Step 3: Cross multiply
    56,369x = 131,066 × 131,066
  4. Step 4: Simplify right side
    56,369x = 17,178,296,356
  5. Step 5: Solve for x
    x = 17,178,296,356/56,369
  6. Step 6: Final answer
    x = 304,747.23

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.