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Finding the Third Proportional to 34,492 and 77,914

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Solution

The third proportional to 34,492 and 77,914 is: 175,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,492 : 77,914 = 77,914 : x
  2. Step 2: Convert to fraction form
    34,492/77,914 = 77,914/x
  3. Step 3: Cross multiply
    34,492x = 77,914 × 77,914
  4. Step 4: Simplify right side
    34,492x = 6,070,591,396
  5. Step 5: Solve for x
    x = 6,070,591,396/34,492
  6. Step 6: Final answer
    x = 175,999.98

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.