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Finding the Third Proportional to 53,057 and 114,862

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Solution

The third proportional to 53,057 and 114,862 is: 248,662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,057 : 114,862 = 114,862 : x
  2. Step 2: Convert to fraction form
    53,057/114,862 = 114,862/x
  3. Step 3: Cross multiply
    53,057x = 114,862 × 114,862
  4. Step 4: Simplify right side
    53,057x = 13,193,279,044
  5. Step 5: Solve for x
    x = 13,193,279,044/53,057
  6. Step 6: Final answer
    x = 248,662.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.