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Finding the Third Proportional to 93,976 and 128,868

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Solution

The third proportional to 93,976 and 128,868 is: 176,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,976 : 128,868 = 128,868 : x
  2. Step 2: Convert to fraction form
    93,976/128,868 = 128,868/x
  3. Step 3: Cross multiply
    93,976x = 128,868 × 128,868
  4. Step 4: Simplify right side
    93,976x = 16,606,961,424
  5. Step 5: Solve for x
    x = 16,606,961,424/93,976
  6. Step 6: Final answer
    x = 176,714.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.