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Finding the Third Proportional to 53,147 and 115,636

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Solution

The third proportional to 53,147 and 115,636 is: 251,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,147 : 115,636 = 115,636 : x
  2. Step 2: Convert to fraction form
    53,147/115,636 = 115,636/x
  3. Step 3: Cross multiply
    53,147x = 115,636 × 115,636
  4. Step 4: Simplify right side
    53,147x = 13,371,684,496
  5. Step 5: Solve for x
    x = 13,371,684,496/53,147
  6. Step 6: Final answer
    x = 251,598.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.