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Finding the Third Proportional to 71,952 and 149,634

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Solution

The third proportional to 71,952 and 149,634 is: 311,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,952 : 149,634 = 149,634 : x
  2. Step 2: Convert to fraction form
    71,952/149,634 = 149,634/x
  3. Step 3: Cross multiply
    71,952x = 149,634 × 149,634
  4. Step 4: Simplify right side
    71,952x = 22,390,333,956
  5. Step 5: Solve for x
    x = 22,390,333,956/71,952
  6. Step 6: Final answer
    x = 311,184.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.