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Finding the Third Proportional to 55,782 and 121,580

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Solution

The third proportional to 55,782 and 121,580 is: 264,990.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,782 : 121,580 = 121,580 : x
  2. Step 2: Convert to fraction form
    55,782/121,580 = 121,580/x
  3. Step 3: Cross multiply
    55,782x = 121,580 × 121,580
  4. Step 4: Simplify right side
    55,782x = 14,781,696,400
  5. Step 5: Solve for x
    x = 14,781,696,400/55,782
  6. Step 6: Final answer
    x = 264,990.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.