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Finding the Third Proportional to 93,072 and 124,845

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Solution

The third proportional to 93,072 and 124,845 is: 167,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,072 : 124,845 = 124,845 : x
  2. Step 2: Convert to fraction form
    93,072/124,845 = 124,845/x
  3. Step 3: Cross multiply
    93,072x = 124,845 × 124,845
  4. Step 4: Simplify right side
    93,072x = 15,586,274,025
  5. Step 5: Solve for x
    x = 15,586,274,025/93,072
  6. Step 6: Final answer
    x = 167,464.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.