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Finding the Third Proportional to 74,497.69 and 163,072.88

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Solution

The third proportional to 74,497.69 and 163,072.88 is: 356,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,497.69 : 163,072.88 = 163,072.88 : x
  2. Step 2: Convert to fraction form
    74,497.69/163,072.88 = 163,072.88/x
  3. Step 3: Cross multiply
    74,497.69x = 163,072.88 × 163,072.88
  4. Step 4: Simplify right side
    74,497.69x = 26,592,762,560.77
  5. Step 5: Solve for x
    x = 26,592,762,560.77/74,497.69
  6. Step 6: Final answer
    x = 356,960.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.