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Finding the Third Proportional to 113,124.09 and 234,077.34

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Solution

The third proportional to 113,124.09 and 234,077.34 is: 484,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,124.09 : 234,077.34 = 234,077.34 : x
  2. Step 2: Convert to fraction form
    113,124.09/234,077.34 = 234,077.34/x
  3. Step 3: Cross multiply
    113,124.09x = 234,077.34 × 234,077.34
  4. Step 4: Simplify right side
    113,124.09x = 54,792,202,857.06
  5. Step 5: Solve for x
    x = 54,792,202,857.06/113,124.09
  6. Step 6: Final answer
    x = 484,354.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.