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Finding the Third Proportional to 75,252.88 and 163,999.37

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Solution

The third proportional to 75,252.88 and 163,999.37 is: 357,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,252.88 : 163,999.37 = 163,999.37 : x
  2. Step 2: Convert to fraction form
    75,252.88/163,999.37 = 163,999.37/x
  3. Step 3: Cross multiply
    75,252.88x = 163,999.37 × 163,999.37
  4. Step 4: Simplify right side
    75,252.88x = 26,895,793,719.15
  5. Step 5: Solve for x
    x = 26,895,793,719.15/75,252.88
  6. Step 6: Final answer
    x = 357,405.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.