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Finding the Third Proportional to 53,256 and 76,716

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Solution

The third proportional to 53,256 and 76,716 is: 110,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,256 : 76,716 = 76,716 : x
  2. Step 2: Convert to fraction form
    53,256/76,716 = 76,716/x
  3. Step 3: Cross multiply
    53,256x = 76,716 × 76,716
  4. Step 4: Simplify right side
    53,256x = 5,885,344,656
  5. Step 5: Solve for x
    x = 5,885,344,656/53,256
  6. Step 6: Final answer
    x = 110,510.45

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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.