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Finding the Third Proportional to 55,920 and 114,432

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Solution

The third proportional to 55,920 and 114,432 is: 234,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,920 : 114,432 = 114,432 : x
  2. Step 2: Convert to fraction form
    55,920/114,432 = 114,432/x
  3. Step 3: Cross multiply
    55,920x = 114,432 × 114,432
  4. Step 4: Simplify right side
    55,920x = 13,094,682,624
  5. Step 5: Solve for x
    x = 13,094,682,624/55,920
  6. Step 6: Final answer
    x = 234,168.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.