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Finding the Third Proportional to 45,034 and 97,519

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Solution

The third proportional to 45,034 and 97,519 is: 211,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,034 : 97,519 = 97,519 : x
  2. Step 2: Convert to fraction form
    45,034/97,519 = 97,519/x
  3. Step 3: Cross multiply
    45,034x = 97,519 × 97,519
  4. Step 4: Simplify right side
    45,034x = 9,509,955,361
  5. Step 5: Solve for x
    x = 9,509,955,361/45,034
  6. Step 6: Final answer
    x = 211,172.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.