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Finding the Third Proportional to 59,636 and 126,169

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Solution

The third proportional to 59,636 and 126,169 is: 266,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,636 : 126,169 = 126,169 : x
  2. Step 2: Convert to fraction form
    59,636/126,169 = 126,169/x
  3. Step 3: Cross multiply
    59,636x = 126,169 × 126,169
  4. Step 4: Simplify right side
    59,636x = 15,918,616,561
  5. Step 5: Solve for x
    x = 15,918,616,561/59,636
  6. Step 6: Final answer
    x = 266,929.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.