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Finding the Third Proportional to 60,024 and 128,944

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Solution

The third proportional to 60,024 and 128,944 is: 276,998.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,024 : 128,944 = 128,944 : x
  2. Step 2: Convert to fraction form
    60,024/128,944 = 128,944/x
  3. Step 3: Cross multiply
    60,024x = 128,944 × 128,944
  4. Step 4: Simplify right side
    60,024x = 16,626,555,136
  5. Step 5: Solve for x
    x = 16,626,555,136/60,024
  6. Step 6: Final answer
    x = 276,998.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.