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Finding the Third Proportional to 118,950.75 and 175,140.38

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Solution

The third proportional to 118,950.75 and 175,140.38 is: 257,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,950.75 : 175,140.38 = 175,140.38 : x
  2. Step 2: Convert to fraction form
    118,950.75/175,140.38 = 175,140.38/x
  3. Step 3: Cross multiply
    118,950.75x = 175,140.38 × 175,140.38
  4. Step 4: Simplify right side
    118,950.75x = 30,674,150,955.14
  5. Step 5: Solve for x
    x = 30,674,150,955.14/118,950.75
  6. Step 6: Final answer
    x = 257,872.70

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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.