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Finding the Third Proportional to 75,880 and 109,301

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Solution

The third proportional to 75,880 and 109,301 is: 157,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,880 : 109,301 = 109,301 : x
  2. Step 2: Convert to fraction form
    75,880/109,301 = 109,301/x
  3. Step 3: Cross multiply
    75,880x = 109,301 × 109,301
  4. Step 4: Simplify right side
    75,880x = 11,946,708,601
  5. Step 5: Solve for x
    x = 11,946,708,601/75,880
  6. Step 6: Final answer
    x = 157,442.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.