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Finding the Third Proportional to 93,404 and 128,442

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Solution

The third proportional to 93,404 and 128,442 is: 176,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,404 : 128,442 = 128,442 : x
  2. Step 2: Convert to fraction form
    93,404/128,442 = 128,442/x
  3. Step 3: Cross multiply
    93,404x = 128,442 × 128,442
  4. Step 4: Simplify right side
    93,404x = 16,497,347,364
  5. Step 5: Solve for x
    x = 16,497,347,364/93,404
  6. Step 6: Final answer
    x = 176,623.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.