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Finding the Third Proportional to 57,472 and 121,854

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Solution

The third proportional to 57,472 and 121,854 is: 258,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,472 : 121,854 = 121,854 : x
  2. Step 2: Convert to fraction form
    57,472/121,854 = 121,854/x
  3. Step 3: Cross multiply
    57,472x = 121,854 × 121,854
  4. Step 4: Simplify right side
    57,472x = 14,848,397,316
  5. Step 5: Solve for x
    x = 14,848,397,316/57,472
  6. Step 6: Final answer
    x = 258,358.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.