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Finding the Third Proportional to 56,616.19 and 115,689.38

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Solution

The third proportional to 56,616.19 and 115,689.38 is: 236,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,616.19 : 115,689.38 = 115,689.38 : x
  2. Step 2: Convert to fraction form
    56,616.19/115,689.38 = 115,689.38/x
  3. Step 3: Cross multiply
    56,616.19x = 115,689.38 × 115,689.38
  4. Step 4: Simplify right side
    56,616.19x = 13,384,031,487.89
  5. Step 5: Solve for x
    x = 13,384,031,487.89/56,616.19
  6. Step 6: Final answer
    x = 236,399.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.