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Finding the Third Proportional to 118,949.25 and 175,138.13

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Solution

The third proportional to 118,949.25 and 175,138.13 is: 257,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,949.25 : 175,138.13 = 175,138.13 : x
  2. Step 2: Convert to fraction form
    118,949.25/175,138.13 = 175,138.13/x
  3. Step 3: Cross multiply
    118,949.25x = 175,138.13 × 175,138.13
  4. Step 4: Simplify right side
    118,949.25x = 30,673,362,828.52
  5. Step 5: Solve for x
    x = 30,673,362,828.52/118,949.25
  6. Step 6: Final answer
    x = 257,869.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.