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Finding the Third Proportional to 75,114 and 152,307

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Solution

The third proportional to 75,114 and 152,307 is: 308,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114 : 152,307 = 152,307 : x
  2. Step 2: Convert to fraction form
    75,114/152,307 = 152,307/x
  3. Step 3: Cross multiply
    75,114x = 152,307 × 152,307
  4. Step 4: Simplify right side
    75,114x = 23,197,422,249
  5. Step 5: Solve for x
    x = 23,197,422,249/75,114
  6. Step 6: Final answer
    x = 308,829.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.