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Finding the Third Proportional to 74,924 and 160,864

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Solution

The third proportional to 74,924 and 160,864 is: 345,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,924 : 160,864 = 160,864 : x
  2. Step 2: Convert to fraction form
    74,924/160,864 = 160,864/x
  3. Step 3: Cross multiply
    74,924x = 160,864 × 160,864
  4. Step 4: Simplify right side
    74,924x = 25,877,226,496
  5. Step 5: Solve for x
    x = 25,877,226,496/74,924
  6. Step 6: Final answer
    x = 345,379.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.