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Finding the Third Proportional to 113,629 and 168,247

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Solution

The third proportional to 113,629 and 168,247 is: 249,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,629 : 168,247 = 168,247 : x
  2. Step 2: Convert to fraction form
    113,629/168,247 = 168,247/x
  3. Step 3: Cross multiply
    113,629x = 168,247 × 168,247
  4. Step 4: Simplify right side
    113,629x = 28,307,053,009
  5. Step 5: Solve for x
    x = 28,307,053,009/113,629
  6. Step 6: Final answer
    x = 249,118.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.