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Finding the Third Proportional to 56,292 and 121,320

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Solution

The third proportional to 56,292 and 121,320 is: 261,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,292 : 121,320 = 121,320 : x
  2. Step 2: Convert to fraction form
    56,292/121,320 = 121,320/x
  3. Step 3: Cross multiply
    56,292x = 121,320 × 121,320
  4. Step 4: Simplify right side
    56,292x = 14,718,542,400
  5. Step 5: Solve for x
    x = 14,718,542,400/56,292
  6. Step 6: Final answer
    x = 261,467.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.