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Finding the Third Proportional to 57,055.64 and 123,132.66

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Solution

The third proportional to 57,055.64 and 123,132.66 is: 265,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,055.64 : 123,132.66 = 123,132.66 : x
  2. Step 2: Convert to fraction form
    57,055.64/123,132.66 = 123,132.66/x
  3. Step 3: Cross multiply
    57,055.64x = 123,132.66 × 123,132.66
  4. Step 4: Simplify right side
    57,055.64x = 15,161,651,035.18
  5. Step 5: Solve for x
    x = 15,161,651,035.18/57,055.64
  6. Step 6: Final answer
    x = 265,734.48

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Why These Related Problems?

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