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Finding the Third Proportional to 113,429 and 174,109

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Solution

The third proportional to 113,429 and 174,109 is: 267,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,429 : 174,109 = 174,109 : x
  2. Step 2: Convert to fraction form
    113,429/174,109 = 174,109/x
  3. Step 3: Cross multiply
    113,429x = 174,109 × 174,109
  4. Step 4: Simplify right side
    113,429x = 30,313,943,881
  5. Step 5: Solve for x
    x = 30,313,943,881/113,429
  6. Step 6: Final answer
    x = 267,250.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.