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Finding the Third Proportional to 118,902 and 163,043

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Solution

The third proportional to 118,902 and 163,043 is: 223,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,902 : 163,043 = 163,043 : x
  2. Step 2: Convert to fraction form
    118,902/163,043 = 163,043/x
  3. Step 3: Cross multiply
    118,902x = 163,043 × 163,043
  4. Step 4: Simplify right side
    118,902x = 26,583,019,849
  5. Step 5: Solve for x
    x = 26,583,019,849/118,902
  6. Step 6: Final answer
    x = 223,570.84

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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.