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Finding the Third Proportional to 67,263.75 and 105,529.50

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Solution

The third proportional to 67,263.75 and 105,529.50 is: 165,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,263.75 : 105,529.50 = 105,529.50 : x
  2. Step 2: Convert to fraction form
    67,263.75/105,529.50 = 105,529.50/x
  3. Step 3: Cross multiply
    67,263.75x = 105,529.50 × 105,529.50
  4. Step 4: Simplify right side
    67,263.75x = 11,136,475,370.25
  5. Step 5: Solve for x
    x = 11,136,475,370.25/67,263.75
  6. Step 6: Final answer
    x = 165,564.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.