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Finding the Third Proportional to 121,788.56 and 265,652.16

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Solution

The third proportional to 121,788.56 and 265,652.16 is: 579,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,788.56 : 265,652.16 = 265,652.16 : x
  2. Step 2: Convert to fraction form
    121,788.56/265,652.16 = 265,652.16/x
  3. Step 3: Cross multiply
    121,788.56x = 265,652.16 × 265,652.16
  4. Step 4: Simplify right side
    121,788.56x = 70,571,068,120.27
  5. Step 5: Solve for x
    x = 70,571,068,120.27/121,788.56
  6. Step 6: Final answer
    x = 579,455.63

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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.