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Finding the Third Proportional to 107,813 and 168,281

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Solution

The third proportional to 107,813 and 168,281 is: 262,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,813 : 168,281 = 168,281 : x
  2. Step 2: Convert to fraction form
    107,813/168,281 = 168,281/x
  3. Step 3: Cross multiply
    107,813x = 168,281 × 168,281
  4. Step 4: Simplify right side
    107,813x = 28,318,494,961
  5. Step 5: Solve for x
    x = 28,318,494,961/107,813
  6. Step 6: Final answer
    x = 262,663.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.