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Finding the Third Proportional to 79,896 and 174,824.25

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Solution

The third proportional to 79,896 and 174,824.25 is: 382,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,896 : 174,824.25 = 174,824.25 : x
  2. Step 2: Convert to fraction form
    79,896/174,824.25 = 174,824.25/x
  3. Step 3: Cross multiply
    79,896x = 174,824.25 × 174,824.25
  4. Step 4: Simplify right side
    79,896x = 30,563,518,388.06
  5. Step 5: Solve for x
    x = 30,563,518,388.06/79,896
  6. Step 6: Final answer
    x = 382,541.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.