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Finding the Third Proportional to 71,786.57 and 153,004.57

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Solution

The third proportional to 71,786.57 and 153,004.57 is: 326,111.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.57 : 153,004.57 = 153,004.57 : x
  2. Step 2: Convert to fraction form
    71,786.57/153,004.57 = 153,004.57/x
  3. Step 3: Cross multiply
    71,786.57x = 153,004.57 × 153,004.57
  4. Step 4: Simplify right side
    71,786.57x = 23,410,398,536.51
  5. Step 5: Solve for x
    x = 23,410,398,536.51/71,786.57
  6. Step 6: Final answer
    x = 326,111.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.