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Finding the Third Proportional to 53,219 and 115,888

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Solution

The third proportional to 53,219 and 115,888 is: 252,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,219 : 115,888 = 115,888 : x
  2. Step 2: Convert to fraction form
    53,219/115,888 = 115,888/x
  3. Step 3: Cross multiply
    53,219x = 115,888 × 115,888
  4. Step 4: Simplify right side
    53,219x = 13,430,028,544
  5. Step 5: Solve for x
    x = 13,430,028,544/53,219
  6. Step 6: Final answer
    x = 252,354.02

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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.