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Finding the Third Proportional to 118,600 and 183,138

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Solution

The third proportional to 118,600 and 183,138 is: 282,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,600 : 183,138 = 183,138 : x
  2. Step 2: Convert to fraction form
    118,600/183,138 = 183,138/x
  3. Step 3: Cross multiply
    118,600x = 183,138 × 183,138
  4. Step 4: Simplify right side
    118,600x = 33,539,527,044
  5. Step 5: Solve for x
    x = 33,539,527,044/118,600
  6. Step 6: Final answer
    x = 282,795.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.