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Finding the Third Proportional to 112,436 and 168,046

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Solution

The third proportional to 112,436 and 168,046 is: 251,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,436 : 168,046 = 168,046 : x
  2. Step 2: Convert to fraction form
    112,436/168,046 = 168,046/x
  3. Step 3: Cross multiply
    112,436x = 168,046 × 168,046
  4. Step 4: Simplify right side
    112,436x = 28,239,458,116
  5. Step 5: Solve for x
    x = 28,239,458,116/112,436
  6. Step 6: Final answer
    x = 251,160.29

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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.