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Finding the Third Proportional to 118,975.50 and 175,173.75

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Solution

The third proportional to 118,975.50 and 175,173.75 is: 257,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,975.50 : 175,173.75 = 175,173.75 : x
  2. Step 2: Convert to fraction form
    118,975.50/175,173.75 = 175,173.75/x
  3. Step 3: Cross multiply
    118,975.50x = 175,173.75 × 175,173.75
  4. Step 4: Simplify right side
    118,975.50x = 30,685,842,689.06
  5. Step 5: Solve for x
    x = 30,685,842,689.06/118,975.50
  6. Step 6: Final answer
    x = 257,917.32

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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.