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Finding the Third Proportional to 70,314 and 105,477

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Solution

The third proportional to 70,314 and 105,477 is: 158,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,314 : 105,477 = 105,477 : x
  2. Step 2: Convert to fraction form
    70,314/105,477 = 105,477/x
  3. Step 3: Cross multiply
    70,314x = 105,477 × 105,477
  4. Step 4: Simplify right side
    70,314x = 11,125,397,529
  5. Step 5: Solve for x
    x = 11,125,397,529/70,314
  6. Step 6: Final answer
    x = 158,224.50

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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.