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Finding the Third Proportional to 52,603 and 79,451

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Solution

The third proportional to 52,603 and 79,451 is: 120,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,603 : 79,451 = 79,451 : x
  2. Step 2: Convert to fraction form
    52,603/79,451 = 79,451/x
  3. Step 3: Cross multiply
    52,603x = 79,451 × 79,451
  4. Step 4: Simplify right side
    52,603x = 6,312,461,401
  5. Step 5: Solve for x
    x = 6,312,461,401/52,603
  6. Step 6: Final answer
    x = 120,001.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.