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Finding the Third Proportional to 84,164 and 127,664

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Solution

The third proportional to 84,164 and 127,664 is: 193,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,164 : 127,664 = 127,664 : x
  2. Step 2: Convert to fraction form
    84,164/127,664 = 127,664/x
  3. Step 3: Cross multiply
    84,164x = 127,664 × 127,664
  4. Step 4: Simplify right side
    84,164x = 16,298,096,896
  5. Step 5: Solve for x
    x = 16,298,096,896/84,164
  6. Step 6: Final answer
    x = 193,646.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.