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Finding the Third Proportional to 116,123.63 and 169,704.49

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Solution

The third proportional to 116,123.63 and 169,704.49 is: 248,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,123.63 : 169,704.49 = 169,704.49 : x
  2. Step 2: Convert to fraction form
    116,123.63/169,704.49 = 169,704.49/x
  3. Step 3: Cross multiply
    116,123.63x = 169,704.49 × 169,704.49
  4. Step 4: Simplify right side
    116,123.63x = 28,799,614,668.62
  5. Step 5: Solve for x
    x = 28,799,614,668.62/116,123.63
  6. Step 6: Final answer
    x = 248,008.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.