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Finding the Third Proportional to 74,914.88 and 163,635.19

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Solution

The third proportional to 74,914.88 and 163,635.19 is: 357,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,914.88 : 163,635.19 = 163,635.19 : x
  2. Step 2: Convert to fraction form
    74,914.88/163,635.19 = 163,635.19/x
  3. Step 3: Cross multiply
    74,914.88x = 163,635.19 × 163,635.19
  4. Step 4: Simplify right side
    74,914.88x = 26,776,474,588.16
  5. Step 5: Solve for x
    x = 26,776,474,588.16/74,914.88
  6. Step 6: Final answer
    x = 357,425.34

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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.