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Finding the Third Proportional to 53,733.38 and 114,597.28

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Solution

The third proportional to 53,733.38 and 114,597.28 is: 244,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,733.38 : 114,597.28 = 114,597.28 : x
  2. Step 2: Convert to fraction form
    53,733.38/114,597.28 = 114,597.28/x
  3. Step 3: Cross multiply
    53,733.38x = 114,597.28 × 114,597.28
  4. Step 4: Simplify right side
    53,733.38x = 13,132,536,869.89
  5. Step 5: Solve for x
    x = 13,132,536,869.89/53,733.38
  6. Step 6: Final answer
    x = 244,401.86

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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.