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Finding the Third Proportional to 88,046 and 183,388

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Solution

The third proportional to 88,046 and 183,388 is: 381,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,046 : 183,388 = 183,388 : x
  2. Step 2: Convert to fraction form
    88,046/183,388 = 183,388/x
  3. Step 3: Cross multiply
    88,046x = 183,388 × 183,388
  4. Step 4: Simplify right side
    88,046x = 33,631,158,544
  5. Step 5: Solve for x
    x = 33,631,158,544/88,046
  6. Step 6: Final answer
    x = 381,972.59

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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.