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Finding the Third Proportional to 118,764 and 174,258

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Solution

The third proportional to 118,764 and 174,258 is: 255,682.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,764 : 174,258 = 174,258 : x
  2. Step 2: Convert to fraction form
    118,764/174,258 = 174,258/x
  3. Step 3: Cross multiply
    118,764x = 174,258 × 174,258
  4. Step 4: Simplify right side
    118,764x = 30,365,850,564
  5. Step 5: Solve for x
    x = 30,365,850,564/118,764
  6. Step 6: Final answer
    x = 255,682.28

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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.