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Finding the Third Proportional to 52,533 and 121,491

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Solution

The third proportional to 52,533 and 121,491 is: 280,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,533 : 121,491 = 121,491 : x
  2. Step 2: Convert to fraction form
    52,533/121,491 = 121,491/x
  3. Step 3: Cross multiply
    52,533x = 121,491 × 121,491
  4. Step 4: Simplify right side
    52,533x = 14,760,063,081
  5. Step 5: Solve for x
    x = 14,760,063,081/52,533
  6. Step 6: Final answer
    x = 280,967.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.