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Finding the Third Proportional to 118,947 and 173,953.50

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Solution

The third proportional to 118,947 and 173,953.50 is: 254,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,947 : 173,953.50 = 173,953.50 : x
  2. Step 2: Convert to fraction form
    118,947/173,953.50 = 173,953.50/x
  3. Step 3: Cross multiply
    118,947x = 173,953.50 × 173,953.50
  4. Step 4: Simplify right side
    118,947x = 30,259,820,162.25
  5. Step 5: Solve for x
    x = 30,259,820,162.25/118,947
  6. Step 6: Final answer
    x = 254,397.51

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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.