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Finding the Third Proportional to 35,054 and 76,452

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Solution

The third proportional to 35,054 and 76,452 is: 166,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,054 : 76,452 = 76,452 : x
  2. Step 2: Convert to fraction form
    35,054/76,452 = 76,452/x
  3. Step 3: Cross multiply
    35,054x = 76,452 × 76,452
  4. Step 4: Simplify right side
    35,054x = 5,844,908,304
  5. Step 5: Solve for x
    x = 5,844,908,304/35,054
  6. Step 6: Final answer
    x = 166,740.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.