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Finding the Third Proportional to 124,727.34 and 191,704.22

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Solution

The third proportional to 124,727.34 and 191,704.22 is: 294,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,727.34 : 191,704.22 = 191,704.22 : x
  2. Step 2: Convert to fraction form
    124,727.34/191,704.22 = 191,704.22/x
  3. Step 3: Cross multiply
    124,727.34x = 191,704.22 × 191,704.22
  4. Step 4: Simplify right side
    124,727.34x = 36,750,507,486.55
  5. Step 5: Solve for x
    x = 36,750,507,486.55/124,727.34
  6. Step 6: Final answer
    x = 294,646.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.