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Finding the Third Proportional to 53,034.75 and 83,166.75

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Solution

The third proportional to 53,034.75 and 83,166.75 is: 130,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,034.75 : 83,166.75 = 83,166.75 : x
  2. Step 2: Convert to fraction form
    53,034.75/83,166.75 = 83,166.75/x
  3. Step 3: Cross multiply
    53,034.75x = 83,166.75 × 83,166.75
  4. Step 4: Simplify right side
    53,034.75x = 6,916,708,305.56
  5. Step 5: Solve for x
    x = 6,916,708,305.56/53,034.75
  6. Step 6: Final answer
    x = 130,418.42

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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.