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Finding the Third Proportional to 112,184 and 167,304

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Solution

The third proportional to 112,184 and 167,304 is: 249,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,184 : 167,304 = 167,304 : x
  2. Step 2: Convert to fraction form
    112,184/167,304 = 167,304/x
  3. Step 3: Cross multiply
    112,184x = 167,304 × 167,304
  4. Step 4: Simplify right side
    112,184x = 27,990,628,416
  5. Step 5: Solve for x
    x = 27,990,628,416/112,184
  6. Step 6: Final answer
    x = 249,506.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.