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Finding the Third Proportional to 93,892 and 128,742

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Solution

The third proportional to 93,892 and 128,742 is: 176,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,892 : 128,742 = 128,742 : x
  2. Step 2: Convert to fraction form
    93,892/128,742 = 128,742/x
  3. Step 3: Cross multiply
    93,892x = 128,742 × 128,742
  4. Step 4: Simplify right side
    93,892x = 16,574,502,564
  5. Step 5: Solve for x
    x = 16,574,502,564/93,892
  6. Step 6: Final answer
    x = 176,527.31

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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.