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Finding the Third Proportional to 73,353 and 109,756.50

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Solution

The third proportional to 73,353 and 109,756.50 is: 164,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,353 : 109,756.50 = 109,756.50 : x
  2. Step 2: Convert to fraction form
    73,353/109,756.50 = 109,756.50/x
  3. Step 3: Cross multiply
    73,353x = 109,756.50 × 109,756.50
  4. Step 4: Simplify right side
    73,353x = 12,046,489,292.25
  5. Step 5: Solve for x
    x = 12,046,489,292.25/73,353
  6. Step 6: Final answer
    x = 164,226.27

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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.