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Finding the Third Proportional to 88,094 and 183,484

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Solution

The third proportional to 88,094 and 183,484 is: 382,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,094 : 183,484 = 183,484 : x
  2. Step 2: Convert to fraction form
    88,094/183,484 = 183,484/x
  3. Step 3: Cross multiply
    88,094x = 183,484 × 183,484
  4. Step 4: Simplify right side
    88,094x = 33,666,378,256
  5. Step 5: Solve for x
    x = 33,666,378,256/88,094
  6. Step 6: Final answer
    x = 382,164.26

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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.