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Finding the Third Proportional to 57,432 and 121,682

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Solution

The third proportional to 57,432 and 121,682 is: 257,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,432 : 121,682 = 121,682 : x
  2. Step 2: Convert to fraction form
    57,432/121,682 = 121,682/x
  3. Step 3: Cross multiply
    57,432x = 121,682 × 121,682
  4. Step 4: Simplify right side
    57,432x = 14,806,509,124
  5. Step 5: Solve for x
    x = 14,806,509,124/57,432
  6. Step 6: Final answer
    x = 257,809.39

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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.