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Finding the Third Proportional to 105,419 and 163,056

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Solution

The third proportional to 105,419 and 163,056 is: 252,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,419 : 163,056 = 163,056 : x
  2. Step 2: Convert to fraction form
    105,419/163,056 = 163,056/x
  3. Step 3: Cross multiply
    105,419x = 163,056 × 163,056
  4. Step 4: Simplify right side
    105,419x = 26,587,259,136
  5. Step 5: Solve for x
    x = 26,587,259,136/105,419
  6. Step 6: Final answer
    x = 252,205.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.