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Finding the Third Proportional to 57,452 and 121,528

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Solution

The third proportional to 57,452 and 121,528 is: 257,067.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,452 : 121,528 = 121,528 : x
  2. Step 2: Convert to fraction form
    57,452/121,528 = 121,528/x
  3. Step 3: Cross multiply
    57,452x = 121,528 × 121,528
  4. Step 4: Simplify right side
    57,452x = 14,769,054,784
  5. Step 5: Solve for x
    x = 14,769,054,784/57,452
  6. Step 6: Final answer
    x = 257,067.72

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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.