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Finding the Third Proportional to 75,012 and 158,460

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Solution

The third proportional to 75,012 and 158,460 is: 334,740.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,012 : 158,460 = 158,460 : x
  2. Step 2: Convert to fraction form
    75,012/158,460 = 158,460/x
  3. Step 3: Cross multiply
    75,012x = 158,460 × 158,460
  4. Step 4: Simplify right side
    75,012x = 25,109,571,600
  5. Step 5: Solve for x
    x = 25,109,571,600/75,012
  6. Step 6: Final answer
    x = 334,740.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.