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Finding the Third Proportional to 57,948 and 128,424

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Solution

The third proportional to 57,948 and 128,424 is: 284,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,948 : 128,424 = 128,424 : x
  2. Step 2: Convert to fraction form
    57,948/128,424 = 128,424/x
  3. Step 3: Cross multiply
    57,948x = 128,424 × 128,424
  4. Step 4: Simplify right side
    57,948x = 16,492,723,776
  5. Step 5: Solve for x
    x = 16,492,723,776/57,948
  6. Step 6: Final answer
    x = 284,612.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.