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Finding the Third Proportional to 53,322 and 116,687

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Solution

The third proportional to 53,322 and 116,687 is: 255,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,322 : 116,687 = 116,687 : x
  2. Step 2: Convert to fraction form
    53,322/116,687 = 116,687/x
  3. Step 3: Cross multiply
    53,322x = 116,687 × 116,687
  4. Step 4: Simplify right side
    53,322x = 13,615,855,969
  5. Step 5: Solve for x
    x = 13,615,855,969/53,322
  6. Step 6: Final answer
    x = 255,351.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.