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Finding the Third Proportional to 56,512 and 124,088

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Solution

The third proportional to 56,512 and 124,088 is: 272,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,512 : 124,088 = 124,088 : x
  2. Step 2: Convert to fraction form
    56,512/124,088 = 124,088/x
  3. Step 3: Cross multiply
    56,512x = 124,088 × 124,088
  4. Step 4: Simplify right side
    56,512x = 15,397,831,744
  5. Step 5: Solve for x
    x = 15,397,831,744/56,512
  6. Step 6: Final answer
    x = 272,470.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.