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Finding the Third Proportional to 35,141 and 75,304

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Solution

The third proportional to 35,141 and 75,304 is: 161,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,141 : 75,304 = 75,304 : x
  2. Step 2: Convert to fraction form
    35,141/75,304 = 75,304/x
  3. Step 3: Cross multiply
    35,141x = 75,304 × 75,304
  4. Step 4: Simplify right side
    35,141x = 5,670,692,416
  5. Step 5: Solve for x
    x = 5,670,692,416/35,141
  6. Step 6: Final answer
    x = 161,369.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.