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Finding the Third Proportional to 74,827.69 and 162,747

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Solution

The third proportional to 74,827.69 and 162,747 is: 353,967.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,827.69 : 162,747 = 162,747 : x
  2. Step 2: Convert to fraction form
    74,827.69/162,747 = 162,747/x
  3. Step 3: Cross multiply
    74,827.69x = 162,747 × 162,747
  4. Step 4: Simplify right side
    74,827.69x = 26,486,586,009
  5. Step 5: Solve for x
    x = 26,486,586,009/74,827.69
  6. Step 6: Final answer
    x = 353,967.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.