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Finding the Third Proportional to 56,152 and 124,760

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Solution

The third proportional to 56,152 and 124,760 is: 277,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,152 : 124,760 = 124,760 : x
  2. Step 2: Convert to fraction form
    56,152/124,760 = 124,760/x
  3. Step 3: Cross multiply
    56,152x = 124,760 × 124,760
  4. Step 4: Simplify right side
    56,152x = 15,565,057,600
  5. Step 5: Solve for x
    x = 15,565,057,600/56,152
  6. Step 6: Final answer
    x = 277,195.07

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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.