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Finding the Third Proportional to 75,460 and 110,516

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Solution

The third proportional to 75,460 and 110,516 is: 161,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,460 : 110,516 = 110,516 : x
  2. Step 2: Convert to fraction form
    75,460/110,516 = 110,516/x
  3. Step 3: Cross multiply
    75,460x = 110,516 × 110,516
  4. Step 4: Simplify right side
    75,460x = 12,213,786,256
  5. Step 5: Solve for x
    x = 12,213,786,256/75,460
  6. Step 6: Final answer
    x = 161,857.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.