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Finding the Third Proportional to 70,263 and 165,859.50

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Solution

The third proportional to 70,263 and 165,859.50 is: 391,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,263 : 165,859.50 = 165,859.50 : x
  2. Step 2: Convert to fraction form
    70,263/165,859.50 = 165,859.50/x
  3. Step 3: Cross multiply
    70,263x = 165,859.50 × 165,859.50
  4. Step 4: Simplify right side
    70,263x = 27,509,373,740.25
  5. Step 5: Solve for x
    x = 27,509,373,740.25/70,263
  6. Step 6: Final answer
    x = 391,520.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.