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Finding the Third Proportional to 118,915 and 174,105

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Solution

The third proportional to 118,915 and 174,105 is: 254,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,915 : 174,105 = 174,105 : x
  2. Step 2: Convert to fraction form
    118,915/174,105 = 174,105/x
  3. Step 3: Cross multiply
    118,915x = 174,105 × 174,105
  4. Step 4: Simplify right side
    118,915x = 30,312,551,025
  5. Step 5: Solve for x
    x = 30,312,551,025/118,915
  6. Step 6: Final answer
    x = 254,909.40

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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.