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Finding the Third Proportional to 67,995 and 145,823

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Solution

The third proportional to 67,995 and 145,823 is: 312,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,995 : 145,823 = 145,823 : x
  2. Step 2: Convert to fraction form
    67,995/145,823 = 145,823/x
  3. Step 3: Cross multiply
    67,995x = 145,823 × 145,823
  4. Step 4: Simplify right side
    67,995x = 21,264,347,329
  5. Step 5: Solve for x
    x = 21,264,347,329/67,995
  6. Step 6: Final answer
    x = 312,733.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.