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Finding the Third Proportional to 71,068 and 147,896

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Solution

The third proportional to 71,068 and 147,896 is: 307,778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,068 : 147,896 = 147,896 : x
  2. Step 2: Convert to fraction form
    71,068/147,896 = 147,896/x
  3. Step 3: Cross multiply
    71,068x = 147,896 × 147,896
  4. Step 4: Simplify right side
    71,068x = 21,873,226,816
  5. Step 5: Solve for x
    x = 21,873,226,816/71,068
  6. Step 6: Final answer
    x = 307,778.84

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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.