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Finding the Third Proportional to 57,513.38 and 84,336.19

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Solution

The third proportional to 57,513.38 and 84,336.19 is: 123,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,513.38 : 84,336.19 = 84,336.19 : x
  2. Step 2: Convert to fraction form
    57,513.38/84,336.19 = 84,336.19/x
  3. Step 3: Cross multiply
    57,513.38x = 84,336.19 × 84,336.19
  4. Step 4: Simplify right side
    57,513.38x = 7,112,592,522.04
  5. Step 5: Solve for x
    x = 7,112,592,522.04/57,513.38
  6. Step 6: Final answer
    x = 123,668.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.