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Finding the Third Proportional to 126,636.75 and 200,525.63

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Solution

The third proportional to 126,636.75 and 200,525.63 is: 317,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,636.75 : 200,525.63 = 200,525.63 : x
  2. Step 2: Convert to fraction form
    126,636.75/200,525.63 = 200,525.63/x
  3. Step 3: Cross multiply
    126,636.75x = 200,525.63 × 200,525.63
  4. Step 4: Simplify right side
    126,636.75x = 40,210,526,281.64
  5. Step 5: Solve for x
    x = 40,210,526,281.64/126,636.75
  6. Step 6: Final answer
    x = 317,526.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.