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Finding the Third Proportional to 114,317 and 163,068

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Solution

The third proportional to 114,317 and 163,068 is: 232,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,317 : 163,068 = 163,068 : x
  2. Step 2: Convert to fraction form
    114,317/163,068 = 163,068/x
  3. Step 3: Cross multiply
    114,317x = 163,068 × 163,068
  4. Step 4: Simplify right side
    114,317x = 26,591,172,624
  5. Step 5: Solve for x
    x = 26,591,172,624/114,317
  6. Step 6: Final answer
    x = 232,609.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.