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Finding the Third Proportional to 56,408 and 122,534

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Solution

The third proportional to 56,408 and 122,534 is: 266,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408 : 122,534 = 122,534 : x
  2. Step 2: Convert to fraction form
    56,408/122,534 = 122,534/x
  3. Step 3: Cross multiply
    56,408x = 122,534 × 122,534
  4. Step 4: Simplify right side
    56,408x = 15,014,581,156
  5. Step 5: Solve for x
    x = 15,014,581,156/56,408
  6. Step 6: Final answer
    x = 266,178.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.