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Finding the Third Proportional to 58,606 and 129,164

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Solution

The third proportional to 58,606 and 129,164 is: 284,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,606 : 129,164 = 129,164 : x
  2. Step 2: Convert to fraction form
    58,606/129,164 = 129,164/x
  3. Step 3: Cross multiply
    58,606x = 129,164 × 129,164
  4. Step 4: Simplify right side
    58,606x = 16,683,338,896
  5. Step 5: Solve for x
    x = 16,683,338,896/58,606
  6. Step 6: Final answer
    x = 284,669.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.