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Finding the Third Proportional to 57,413 and 121,777

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Solution

The third proportional to 57,413 and 121,777 is: 258,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,413 : 121,777 = 121,777 : x
  2. Step 2: Convert to fraction form
    57,413/121,777 = 121,777/x
  3. Step 3: Cross multiply
    57,413x = 121,777 × 121,777
  4. Step 4: Simplify right side
    57,413x = 14,829,637,729
  5. Step 5: Solve for x
    x = 14,829,637,729/57,413
  6. Step 6: Final answer
    x = 258,297.56

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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.