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Finding the Third Proportional to 82,515 and 128,700

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Solution

The third proportional to 82,515 and 128,700 is: 200,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,515 : 128,700 = 128,700 : x
  2. Step 2: Convert to fraction form
    82,515/128,700 = 128,700/x
  3. Step 3: Cross multiply
    82,515x = 128,700 × 128,700
  4. Step 4: Simplify right side
    82,515x = 16,563,690,000
  5. Step 5: Solve for x
    x = 16,563,690,000/82,515
  6. Step 6: Final answer
    x = 200,735.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.