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Finding the Third Proportional to 82,063.50 and 128,567.25

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Solution

The third proportional to 82,063.50 and 128,567.25 is: 201,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,063.50 : 128,567.25 = 128,567.25 : x
  2. Step 2: Convert to fraction form
    82,063.50/128,567.25 = 128,567.25/x
  3. Step 3: Cross multiply
    82,063.50x = 128,567.25 × 128,567.25
  4. Step 4: Simplify right side
    82,063.50x = 16,529,537,772.56
  5. Step 5: Solve for x
    x = 16,529,537,772.56/82,063.50
  6. Step 6: Final answer
    x = 201,423.75

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