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Finding the Third Proportional to 124,734.94 and 192,023.16

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Solution

The third proportional to 124,734.94 and 192,023.16 is: 295,609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,734.94 : 192,023.16 = 192,023.16 : x
  2. Step 2: Convert to fraction form
    124,734.94/192,023.16 = 192,023.16/x
  3. Step 3: Cross multiply
    124,734.94x = 192,023.16 × 192,023.16
  4. Step 4: Simplify right side
    124,734.94x = 36,872,892,536.21
  5. Step 5: Solve for x
    x = 36,872,892,536.21/124,734.94
  6. Step 6: Final answer
    x = 295,609.98

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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.