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Finding the Third Proportional to 118,906 and 163,047

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Solution

The third proportional to 118,906 and 163,047 is: 223,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,906 : 163,047 = 163,047 : x
  2. Step 2: Convert to fraction form
    118,906/163,047 = 163,047/x
  3. Step 3: Cross multiply
    118,906x = 163,047 × 163,047
  4. Step 4: Simplify right side
    118,906x = 26,584,324,209
  5. Step 5: Solve for x
    x = 26,584,324,209/118,906
  6. Step 6: Final answer
    x = 223,574.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.