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Finding the Third Proportional to 56,512 and 76,748

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Solution

The third proportional to 56,512 and 76,748 is: 104,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,512 : 76,748 = 76,748 : x
  2. Step 2: Convert to fraction form
    56,512/76,748 = 76,748/x
  3. Step 3: Cross multiply
    56,512x = 76,748 × 76,748
  4. Step 4: Simplify right side
    56,512x = 5,890,255,504
  5. Step 5: Solve for x
    x = 5,890,255,504/56,512
  6. Step 6: Final answer
    x = 104,230.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.