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Finding the Third Proportional to 84,252.66 and 127,256.06

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Solution

The third proportional to 84,252.66 and 127,256.06 is: 192,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,252.66 : 127,256.06 = 127,256.06 : x
  2. Step 2: Convert to fraction form
    84,252.66/127,256.06 = 127,256.06/x
  3. Step 3: Cross multiply
    84,252.66x = 127,256.06 × 127,256.06
  4. Step 4: Simplify right side
    84,252.66x = 16,194,105,443.00
  5. Step 5: Solve for x
    x = 16,194,105,443.00/84,252.66
  6. Step 6: Final answer
    x = 192,208.84

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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.