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Finding the Third Proportional to 65,913 and 155,408

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Solution

The third proportional to 65,913 and 155,408 is: 366,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,913 : 155,408 = 155,408 : x
  2. Step 2: Convert to fraction form
    65,913/155,408 = 155,408/x
  3. Step 3: Cross multiply
    65,913x = 155,408 × 155,408
  4. Step 4: Simplify right side
    65,913x = 24,151,646,464
  5. Step 5: Solve for x
    x = 24,151,646,464/65,913
  6. Step 6: Final answer
    x = 366,417.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.