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Finding the Third Proportional to 116,562 and 253,881

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Solution

The third proportional to 116,562 and 253,881 is: 552,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,562 : 253,881 = 253,881 : x
  2. Step 2: Convert to fraction form
    116,562/253,881 = 253,881/x
  3. Step 3: Cross multiply
    116,562x = 253,881 × 253,881
  4. Step 4: Simplify right side
    116,562x = 64,455,562,161
  5. Step 5: Solve for x
    x = 64,455,562,161/116,562
  6. Step 6: Final answer
    x = 552,972.34

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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.