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Finding the Third Proportional to 45,487 and 70,175

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Solution

The third proportional to 45,487 and 70,175 is: 108,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,487 : 70,175 = 70,175 : x
  2. Step 2: Convert to fraction form
    45,487/70,175 = 70,175/x
  3. Step 3: Cross multiply
    45,487x = 70,175 × 70,175
  4. Step 4: Simplify right side
    45,487x = 4,924,530,625
  5. Step 5: Solve for x
    x = 4,924,530,625/45,487
  6. Step 6: Final answer
    x = 108,262.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.