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Finding the Third Proportional to 74,473.88 and 163,981.13

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Solution

The third proportional to 74,473.88 and 163,981.13 is: 361,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,473.88 : 163,981.13 = 163,981.13 : x
  2. Step 2: Convert to fraction form
    74,473.88/163,981.13 = 163,981.13/x
  3. Step 3: Cross multiply
    74,473.88x = 163,981.13 × 163,981.13
  4. Step 4: Simplify right side
    74,473.88x = 26,889,809,356.27
  5. Step 5: Solve for x
    x = 26,889,809,356.27/74,473.88
  6. Step 6: Final answer
    x = 361,063.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.