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Finding the Third Proportional to 127,821 and 175,329

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Solution

The third proportional to 127,821 and 175,329 is: 240,494.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,821 : 175,329 = 175,329 : x
  2. Step 2: Convert to fraction form
    127,821/175,329 = 175,329/x
  3. Step 3: Cross multiply
    127,821x = 175,329 × 175,329
  4. Step 4: Simplify right side
    127,821x = 30,740,258,241
  5. Step 5: Solve for x
    x = 30,740,258,241/127,821
  6. Step 6: Final answer
    x = 240,494.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.