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Finding the Third Proportional to 116,122.88 and 169,703.63

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Solution

The third proportional to 116,122.88 and 169,703.63 is: 248,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,122.88 : 169,703.63 = 169,703.63 : x
  2. Step 2: Convert to fraction form
    116,122.88/169,703.63 = 169,703.63/x
  3. Step 3: Cross multiply
    116,122.88x = 169,703.63 × 169,703.63
  4. Step 4: Simplify right side
    116,122.88x = 28,799,320,338.14
  5. Step 5: Solve for x
    x = 28,799,320,338.14/116,122.88
  6. Step 6: Final answer
    x = 248,007.30

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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.