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Finding the Third Proportional to 54,720 and 78,624

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Solution

The third proportional to 54,720 and 78,624 is: 112,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720 : 78,624 = 78,624 : x
  2. Step 2: Convert to fraction form
    54,720/78,624 = 78,624/x
  3. Step 3: Cross multiply
    54,720x = 78,624 × 78,624
  4. Step 4: Simplify right side
    54,720x = 6,181,733,376
  5. Step 5: Solve for x
    x = 6,181,733,376/54,720
  6. Step 6: Final answer
    x = 112,970.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.