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Finding the Third Proportional to 71,345 and 110,407

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Solution

The third proportional to 71,345 and 110,407 is: 170,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,345 : 110,407 = 110,407 : x
  2. Step 2: Convert to fraction form
    71,345/110,407 = 110,407/x
  3. Step 3: Cross multiply
    71,345x = 110,407 × 110,407
  4. Step 4: Simplify right side
    71,345x = 12,189,705,649
  5. Step 5: Solve for x
    x = 12,189,705,649/71,345
  6. Step 6: Final answer
    x = 170,855.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.