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Finding the Third Proportional to 75,456 and 157,108.50

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Solution

The third proportional to 75,456 and 157,108.50 is: 327,118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,456 : 157,108.50 = 157,108.50 : x
  2. Step 2: Convert to fraction form
    75,456/157,108.50 = 157,108.50/x
  3. Step 3: Cross multiply
    75,456x = 157,108.50 × 157,108.50
  4. Step 4: Simplify right side
    75,456x = 24,683,080,772.25
  5. Step 5: Solve for x
    x = 24,683,080,772.25/75,456
  6. Step 6: Final answer
    x = 327,118.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.