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Finding the Third Proportional to 53,274.38 and 82,712.81

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Solution

The third proportional to 53,274.38 and 82,712.81 is: 128,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,274.38 : 82,712.81 = 82,712.81 : x
  2. Step 2: Convert to fraction form
    53,274.38/82,712.81 = 82,712.81/x
  3. Step 3: Cross multiply
    53,274.38x = 82,712.81 × 82,712.81
  4. Step 4: Simplify right side
    53,274.38x = 6,841,409,351.66
  5. Step 5: Solve for x
    x = 6,841,409,351.66/53,274.38
  6. Step 6: Final answer
    x = 128,418.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.