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Finding the Third Proportional to 120,056 and 172,932

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Solution

The third proportional to 120,056 and 172,932 is: 249,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,056 : 172,932 = 172,932 : x
  2. Step 2: Convert to fraction form
    120,056/172,932 = 172,932/x
  3. Step 3: Cross multiply
    120,056x = 172,932 × 172,932
  4. Step 4: Simplify right side
    120,056x = 29,905,476,624
  5. Step 5: Solve for x
    x = 29,905,476,624/120,056
  6. Step 6: Final answer
    x = 249,096.06

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.