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Finding the Third Proportional to 53,536 and 80,460

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Solution

The third proportional to 53,536 and 80,460 is: 120,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,536 : 80,460 = 80,460 : x
  2. Step 2: Convert to fraction form
    53,536/80,460 = 80,460/x
  3. Step 3: Cross multiply
    53,536x = 80,460 × 80,460
  4. Step 4: Simplify right side
    53,536x = 6,473,811,600
  5. Step 5: Solve for x
    x = 6,473,811,600/53,536
  6. Step 6: Final answer
    x = 120,924.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.