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Finding the Third Proportional to 76,085 and 118,733

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Solution

The third proportional to 76,085 and 118,733 is: 185,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,085 : 118,733 = 118,733 : x
  2. Step 2: Convert to fraction form
    76,085/118,733 = 118,733/x
  3. Step 3: Cross multiply
    76,085x = 118,733 × 118,733
  4. Step 4: Simplify right side
    76,085x = 14,097,525,289
  5. Step 5: Solve for x
    x = 14,097,525,289/76,085
  6. Step 6: Final answer
    x = 185,286.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.