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Finding the Third Proportional to 113,627 and 168,253

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Solution

The third proportional to 113,627 and 168,253 is: 249,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,627 : 168,253 = 168,253 : x
  2. Step 2: Convert to fraction form
    113,627/168,253 = 168,253/x
  3. Step 3: Cross multiply
    113,627x = 168,253 × 168,253
  4. Step 4: Simplify right side
    113,627x = 28,309,072,009
  5. Step 5: Solve for x
    x = 28,309,072,009/113,627
  6. Step 6: Final answer
    x = 249,140.36

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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.