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Finding the Third Proportional to 127,124.44 and 186,138

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Solution

The third proportional to 127,124.44 and 186,138 is: 272,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,124.44 : 186,138 = 186,138 : x
  2. Step 2: Convert to fraction form
    127,124.44/186,138 = 186,138/x
  3. Step 3: Cross multiply
    127,124.44x = 186,138 × 186,138
  4. Step 4: Simplify right side
    127,124.44x = 34,647,355,044
  5. Step 5: Solve for x
    x = 34,647,355,044/127,124.44
  6. Step 6: Final answer
    x = 272,546.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.