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Finding the Third Proportional to 112,286 and 164,047

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Solution

The third proportional to 112,286 and 164,047 is: 239,668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,286 : 164,047 = 164,047 : x
  2. Step 2: Convert to fraction form
    112,286/164,047 = 164,047/x
  3. Step 3: Cross multiply
    112,286x = 164,047 × 164,047
  4. Step 4: Simplify right side
    112,286x = 26,911,418,209
  5. Step 5: Solve for x
    x = 26,911,418,209/112,286
  6. Step 6: Final answer
    x = 239,668.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.