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Finding the Third Proportional to 58,634.72 and 114,353.44

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Solution

The third proportional to 58,634.72 and 114,353.44 is: 223,019.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,634.72 : 114,353.44 = 114,353.44 : x
  2. Step 2: Convert to fraction form
    58,634.72/114,353.44 = 114,353.44/x
  3. Step 3: Cross multiply
    58,634.72x = 114,353.44 × 114,353.44
  4. Step 4: Simplify right side
    58,634.72x = 13,076,708,668.07
  5. Step 5: Solve for x
    x = 13,076,708,668.07/58,634.72
  6. Step 6: Final answer
    x = 223,019.89

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.