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Finding the Third Proportional to 117,056 and 252,832

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Solution

The third proportional to 117,056 and 252,832 is: 546,097.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,056 : 252,832 = 252,832 : x
  2. Step 2: Convert to fraction form
    117,056/252,832 = 252,832/x
  3. Step 3: Cross multiply
    117,056x = 252,832 × 252,832
  4. Step 4: Simplify right side
    117,056x = 63,924,020,224
  5. Step 5: Solve for x
    x = 63,924,020,224/117,056
  6. Step 6: Final answer
    x = 546,097.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.