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Finding the Third Proportional to 117,116 and 252,024

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Solution

The third proportional to 117,116 and 252,024 is: 542,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,116 : 252,024 = 252,024 : x
  2. Step 2: Convert to fraction form
    117,116/252,024 = 252,024/x
  3. Step 3: Cross multiply
    117,116x = 252,024 × 252,024
  4. Step 4: Simplify right side
    117,116x = 63,516,096,576
  5. Step 5: Solve for x
    x = 63,516,096,576/117,116
  6. Step 6: Final answer
    x = 542,334.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.