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Finding the Third Proportional to 59,106 and 129,696

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Solution

The third proportional to 59,106 and 129,696 is: 284,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,106 : 129,696 = 129,696 : x
  2. Step 2: Convert to fraction form
    59,106/129,696 = 129,696/x
  3. Step 3: Cross multiply
    59,106x = 129,696 × 129,696
  4. Step 4: Simplify right side
    59,106x = 16,821,052,416
  5. Step 5: Solve for x
    x = 16,821,052,416/59,106
  6. Step 6: Final answer
    x = 284,591.28

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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.