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Finding the Third Proportional to 53,922 and 73,260

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Solution

The third proportional to 53,922 and 73,260 is: 99,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,922 : 73,260 = 73,260 : x
  2. Step 2: Convert to fraction form
    53,922/73,260 = 73,260/x
  3. Step 3: Cross multiply
    53,922x = 73,260 × 73,260
  4. Step 4: Simplify right side
    53,922x = 5,367,027,600
  5. Step 5: Solve for x
    x = 5,367,027,600/53,922
  6. Step 6: Final answer
    x = 99,533.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.