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Finding the Third Proportional to 108,436 and 157,713

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Solution

The third proportional to 108,436 and 157,713 is: 229,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,436 : 157,713 = 157,713 : x
  2. Step 2: Convert to fraction form
    108,436/157,713 = 157,713/x
  3. Step 3: Cross multiply
    108,436x = 157,713 × 157,713
  4. Step 4: Simplify right side
    108,436x = 24,873,390,369
  5. Step 5: Solve for x
    x = 24,873,390,369/108,436
  6. Step 6: Final answer
    x = 229,383.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.