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Finding the Third Proportional to 84,205.75 and 127,182.88

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Solution

The third proportional to 84,205.75 and 127,182.88 is: 192,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,205.75 : 127,182.88 = 127,182.88 : x
  2. Step 2: Convert to fraction form
    84,205.75/127,182.88 = 127,182.88/x
  3. Step 3: Cross multiply
    84,205.75x = 127,182.88 × 127,182.88
  4. Step 4: Simplify right side
    84,205.75x = 16,175,483,693.27
  5. Step 5: Solve for x
    x = 16,175,483,693.27/84,205.75
  6. Step 6: Final answer
    x = 192,094.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.