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Finding the Third Proportional to 34,511 and 74,459

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Solution

The third proportional to 34,511 and 74,459 is: 160,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,511 : 74,459 = 74,459 : x
  2. Step 2: Convert to fraction form
    34,511/74,459 = 74,459/x
  3. Step 3: Cross multiply
    34,511x = 74,459 × 74,459
  4. Step 4: Simplify right side
    34,511x = 5,544,142,681
  5. Step 5: Solve for x
    x = 5,544,142,681/34,511
  6. Step 6: Final answer
    x = 160,648.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.