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Finding the Third Proportional to 53,996 and 84,513

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Solution

The third proportional to 53,996 and 84,513 is: 132,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,996 : 84,513 = 84,513 : x
  2. Step 2: Convert to fraction form
    53,996/84,513 = 84,513/x
  3. Step 3: Cross multiply
    53,996x = 84,513 × 84,513
  4. Step 4: Simplify right side
    53,996x = 7,142,447,169
  5. Step 5: Solve for x
    x = 7,142,447,169/53,996
  6. Step 6: Final answer
    x = 132,277.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.