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Finding the Third Proportional to 76,914 and 112,347

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Solution

The third proportional to 76,914 and 112,347 is: 164,103.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,914 : 112,347 = 112,347 : x
  2. Step 2: Convert to fraction form
    76,914/112,347 = 112,347/x
  3. Step 3: Cross multiply
    76,914x = 112,347 × 112,347
  4. Step 4: Simplify right side
    76,914x = 12,621,848,409
  5. Step 5: Solve for x
    x = 12,621,848,409/76,914
  6. Step 6: Final answer
    x = 164,103.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.