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Finding the Third Proportional to 93,902 and 127,892

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Solution

The third proportional to 93,902 and 127,892 is: 174,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,902 : 127,892 = 127,892 : x
  2. Step 2: Convert to fraction form
    93,902/127,892 = 127,892/x
  3. Step 3: Cross multiply
    93,902x = 127,892 × 127,892
  4. Step 4: Simplify right side
    93,902x = 16,356,363,664
  5. Step 5: Solve for x
    x = 16,356,363,664/93,902
  6. Step 6: Final answer
    x = 174,185.47

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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.