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Finding the Third Proportional to 118,854 and 174,744

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Solution

The third proportional to 118,854 and 174,744 is: 256,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,854 : 174,744 = 174,744 : x
  2. Step 2: Convert to fraction form
    118,854/174,744 = 174,744/x
  3. Step 3: Cross multiply
    118,854x = 174,744 × 174,744
  4. Step 4: Simplify right side
    118,854x = 30,535,465,536
  5. Step 5: Solve for x
    x = 30,535,465,536/118,854
  6. Step 6: Final answer
    x = 256,915.76

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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.