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Finding the Third Proportional to 76,351 and 118,889

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Solution

The third proportional to 76,351 and 118,889 is: 185,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,351 : 118,889 = 118,889 : x
  2. Step 2: Convert to fraction form
    76,351/118,889 = 118,889/x
  3. Step 3: Cross multiply
    76,351x = 118,889 × 118,889
  4. Step 4: Simplify right side
    76,351x = 14,134,594,321
  5. Step 5: Solve for x
    x = 14,134,594,321/76,351
  6. Step 6: Final answer
    x = 185,126.51

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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.