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Finding the Third Proportional to 54,324 and 125,861

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Solution

The third proportional to 54,324 and 125,861 is: 291,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324 : 125,861 = 125,861 : x
  2. Step 2: Convert to fraction form
    54,324/125,861 = 125,861/x
  3. Step 3: Cross multiply
    54,324x = 125,861 × 125,861
  4. Step 4: Simplify right side
    54,324x = 15,840,991,321
  5. Step 5: Solve for x
    x = 15,840,991,321/54,324
  6. Step 6: Final answer
    x = 291,602.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.