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Finding the Third Proportional to 56,365 and 131,056

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Solution

The third proportional to 56,365 and 131,056 is: 304,722.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,365 : 131,056 = 131,056 : x
  2. Step 2: Convert to fraction form
    56,365/131,056 = 131,056/x
  3. Step 3: Cross multiply
    56,365x = 131,056 × 131,056
  4. Step 4: Simplify right side
    56,365x = 17,175,675,136
  5. Step 5: Solve for x
    x = 17,175,675,136/56,365
  6. Step 6: Final answer
    x = 304,722.35

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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.