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Finding the Third Proportional to 75,282 and 163,686

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Solution

The third proportional to 75,282 and 163,686 is: 355,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,282 : 163,686 = 163,686 : x
  2. Step 2: Convert to fraction form
    75,282/163,686 = 163,686/x
  3. Step 3: Cross multiply
    75,282x = 163,686 × 163,686
  4. Step 4: Simplify right side
    75,282x = 26,793,106,596
  5. Step 5: Solve for x
    x = 26,793,106,596/75,282
  6. Step 6: Final answer
    x = 355,903.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.