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Finding the Third Proportional to 129,636 and 197,075.25

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Solution

The third proportional to 129,636 and 197,075.25 is: 299,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,636 : 197,075.25 = 197,075.25 : x
  2. Step 2: Convert to fraction form
    129,636/197,075.25 = 197,075.25/x
  3. Step 3: Cross multiply
    129,636x = 197,075.25 × 197,075.25
  4. Step 4: Simplify right side
    129,636x = 38,838,654,162.56
  5. Step 5: Solve for x
    x = 38,838,654,162.56/129,636
  6. Step 6: Final answer
    x = 299,597.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.