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Finding the Third Proportional to 97,648 and 147,519

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Solution

The third proportional to 97,648 and 147,519 is: 222,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,648 : 147,519 = 147,519 : x
  2. Step 2: Convert to fraction form
    97,648/147,519 = 147,519/x
  3. Step 3: Cross multiply
    97,648x = 147,519 × 147,519
  4. Step 4: Simplify right side
    97,648x = 21,761,855,361
  5. Step 5: Solve for x
    x = 21,761,855,361/97,648
  6. Step 6: Final answer
    x = 222,860.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.