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Finding the Third Proportional to 58,256 and 122,056

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Solution

The third proportional to 58,256 and 122,056 is: 255,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,256 : 122,056 = 122,056 : x
  2. Step 2: Convert to fraction form
    58,256/122,056 = 122,056/x
  3. Step 3: Cross multiply
    58,256x = 122,056 × 122,056
  4. Step 4: Simplify right side
    58,256x = 14,897,667,136
  5. Step 5: Solve for x
    x = 14,897,667,136/58,256
  6. Step 6: Final answer
    x = 255,727.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.