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Finding the Third Proportional to 93,601 and 127,015

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Solution

The third proportional to 93,601 and 127,015 is: 172,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,601 : 127,015 = 127,015 : x
  2. Step 2: Convert to fraction form
    93,601/127,015 = 127,015/x
  3. Step 3: Cross multiply
    93,601x = 127,015 × 127,015
  4. Step 4: Simplify right side
    93,601x = 16,132,810,225
  5. Step 5: Solve for x
    x = 16,132,810,225/93,601
  6. Step 6: Final answer
    x = 172,357.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.