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Finding the Third Proportional to 57,408 and 84,411

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Solution

The third proportional to 57,408 and 84,411 is: 124,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408 : 84,411 = 84,411 : x
  2. Step 2: Convert to fraction form
    57,408/84,411 = 84,411/x
  3. Step 3: Cross multiply
    57,408x = 84,411 × 84,411
  4. Step 4: Simplify right side
    57,408x = 7,125,216,921
  5. Step 5: Solve for x
    x = 7,125,216,921/57,408
  6. Step 6: Final answer
    x = 124,115.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.