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Finding the Third Proportional to 73,556 and 110,310

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Solution

The third proportional to 73,556 and 110,310 is: 165,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,556 : 110,310 = 110,310 : x
  2. Step 2: Convert to fraction form
    73,556/110,310 = 110,310/x
  3. Step 3: Cross multiply
    73,556x = 110,310 × 110,310
  4. Step 4: Simplify right side
    73,556x = 12,168,296,100
  5. Step 5: Solve for x
    x = 12,168,296,100/73,556
  6. Step 6: Final answer
    x = 165,429.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.