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Finding the Third Proportional to 35,723 and 78,452

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Solution

The third proportional to 35,723 and 78,452 is: 172,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,723 : 78,452 = 78,452 : x
  2. Step 2: Convert to fraction form
    35,723/78,452 = 78,452/x
  3. Step 3: Cross multiply
    35,723x = 78,452 × 78,452
  4. Step 4: Simplify right side
    35,723x = 6,154,716,304
  5. Step 5: Solve for x
    x = 6,154,716,304/35,723
  6. Step 6: Final answer
    x = 172,290.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.