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Finding the Third Proportional to 57,925 and 89,548

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Solution

The third proportional to 57,925 and 89,548 is: 138,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,925 : 89,548 = 89,548 : x
  2. Step 2: Convert to fraction form
    57,925/89,548 = 89,548/x
  3. Step 3: Cross multiply
    57,925x = 89,548 × 89,548
  4. Step 4: Simplify right side
    57,925x = 8,018,844,304
  5. Step 5: Solve for x
    x = 8,018,844,304/57,925
  6. Step 6: Final answer
    x = 138,434.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.