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Finding the Third Proportional to 58,221.28 and 124,742.53

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Solution

The third proportional to 58,221.28 and 124,742.53 is: 267,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,221.28 : 124,742.53 = 124,742.53 : x
  2. Step 2: Convert to fraction form
    58,221.28/124,742.53 = 124,742.53/x
  3. Step 3: Cross multiply
    58,221.28x = 124,742.53 × 124,742.53
  4. Step 4: Simplify right side
    58,221.28x = 15,560,699,102.66
  5. Step 5: Solve for x
    x = 15,560,699,102.66/58,221.28
  6. Step 6: Final answer
    x = 267,268.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.