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Finding the Third Proportional to 73,242 and 109,865

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Solution

The third proportional to 73,242 and 109,865 is: 164,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,242 : 109,865 = 109,865 : x
  2. Step 2: Convert to fraction form
    73,242/109,865 = 109,865/x
  3. Step 3: Cross multiply
    73,242x = 109,865 × 109,865
  4. Step 4: Simplify right side
    73,242x = 12,070,318,225
  5. Step 5: Solve for x
    x = 12,070,318,225/73,242
  6. Step 6: Final answer
    x = 164,800.50

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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.