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Finding the Third Proportional to 75,234 and 114,328

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Solution

The third proportional to 75,234 and 114,328 is: 173,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,234 : 114,328 = 114,328 : x
  2. Step 2: Convert to fraction form
    75,234/114,328 = 114,328/x
  3. Step 3: Cross multiply
    75,234x = 114,328 × 114,328
  4. Step 4: Simplify right side
    75,234x = 13,070,891,584
  5. Step 5: Solve for x
    x = 13,070,891,584/75,234
  6. Step 6: Final answer
    x = 173,736.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.