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Finding the Third Proportional to 34,922 and 76,364

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Solution

The third proportional to 34,922 and 76,364 is: 166,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,922 : 76,364 = 76,364 : x
  2. Step 2: Convert to fraction form
    34,922/76,364 = 76,364/x
  3. Step 3: Cross multiply
    34,922x = 76,364 × 76,364
  4. Step 4: Simplify right side
    34,922x = 5,831,460,496
  5. Step 5: Solve for x
    x = 5,831,460,496/34,922
  6. Step 6: Final answer
    x = 166,985.30

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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.