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Finding the Third Proportional to 53,596 and 81,642

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Solution

The third proportional to 53,596 and 81,642 is: 124,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,596 : 81,642 = 81,642 : x
  2. Step 2: Convert to fraction form
    53,596/81,642 = 81,642/x
  3. Step 3: Cross multiply
    53,596x = 81,642 × 81,642
  4. Step 4: Simplify right side
    53,596x = 6,665,416,164
  5. Step 5: Solve for x
    x = 6,665,416,164/53,596
  6. Step 6: Final answer
    x = 124,364.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.