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Finding the Third Proportional to 82,809.84 and 127,455.40

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Solution

The third proportional to 82,809.84 and 127,455.40 is: 196,170.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.84 : 127,455.40 = 127,455.40 : x
  2. Step 2: Convert to fraction form
    82,809.84/127,455.40 = 127,455.40/x
  3. Step 3: Cross multiply
    82,809.84x = 127,455.40 × 127,455.40
  4. Step 4: Simplify right side
    82,809.84x = 16,244,878,590.86
  5. Step 5: Solve for x
    x = 16,244,878,590.86/82,809.84
  6. Step 6: Final answer
    x = 196,170.86

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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.