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Finding the Third Proportional to 67,464 and 147,888

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Solution

The third proportional to 67,464 and 147,888 is: 324,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,464 : 147,888 = 147,888 : x
  2. Step 2: Convert to fraction form
    67,464/147,888 = 147,888/x
  3. Step 3: Cross multiply
    67,464x = 147,888 × 147,888
  4. Step 4: Simplify right side
    67,464x = 21,870,860,544
  5. Step 5: Solve for x
    x = 21,870,860,544/67,464
  6. Step 6: Final answer
    x = 324,185.65

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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.