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Finding the Third Proportional to 56,080 and 75,156

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Solution

The third proportional to 56,080 and 75,156 is: 100,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,080 : 75,156 = 75,156 : x
  2. Step 2: Convert to fraction form
    56,080/75,156 = 75,156/x
  3. Step 3: Cross multiply
    56,080x = 75,156 × 75,156
  4. Step 4: Simplify right side
    56,080x = 5,648,424,336
  5. Step 5: Solve for x
    x = 5,648,424,336/56,080
  6. Step 6: Final answer
    x = 100,720.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.