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Finding the Third Proportional to 53,956 and 84,642

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Solution

The third proportional to 53,956 and 84,642 is: 132,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,956 : 84,642 = 84,642 : x
  2. Step 2: Convert to fraction form
    53,956/84,642 = 84,642/x
  3. Step 3: Cross multiply
    53,956x = 84,642 × 84,642
  4. Step 4: Simplify right side
    53,956x = 7,164,268,164
  5. Step 5: Solve for x
    x = 7,164,268,164/53,956
  6. Step 6: Final answer
    x = 132,779.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.