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Finding the Third Proportional to 48,965 and 107,056

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Solution

The third proportional to 48,965 and 107,056 is: 234,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,965 : 107,056 = 107,056 : x
  2. Step 2: Convert to fraction form
    48,965/107,056 = 107,056/x
  3. Step 3: Cross multiply
    48,965x = 107,056 × 107,056
  4. Step 4: Simplify right side
    48,965x = 11,460,987,136
  5. Step 5: Solve for x
    x = 11,460,987,136/48,965
  6. Step 6: Final answer
    x = 234,064.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.