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Finding the Third Proportional to 84,016 and 121,056

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Solution

The third proportional to 84,016 and 121,056 is: 174,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,016 : 121,056 = 121,056 : x
  2. Step 2: Convert to fraction form
    84,016/121,056 = 121,056/x
  3. Step 3: Cross multiply
    84,016x = 121,056 × 121,056
  4. Step 4: Simplify right side
    84,016x = 14,654,555,136
  5. Step 5: Solve for x
    x = 14,654,555,136/84,016
  6. Step 6: Final answer
    x = 174,425.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.