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Finding the Third Proportional to 82,893 and 127,485

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Solution

The third proportional to 82,893 and 127,485 is: 196,065.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,893 : 127,485 = 127,485 : x
  2. Step 2: Convert to fraction form
    82,893/127,485 = 127,485/x
  3. Step 3: Cross multiply
    82,893x = 127,485 × 127,485
  4. Step 4: Simplify right side
    82,893x = 16,252,425,225
  5. Step 5: Solve for x
    x = 16,252,425,225/82,893
  6. Step 6: Final answer
    x = 196,065.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.