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Finding the Third Proportional to 124,031 and 272,361.50

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Solution

The third proportional to 124,031 and 272,361.50 is: 598,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,031 : 272,361.50 = 272,361.50 : x
  2. Step 2: Convert to fraction form
    124,031/272,361.50 = 272,361.50/x
  3. Step 3: Cross multiply
    124,031x = 272,361.50 × 272,361.50
  4. Step 4: Simplify right side
    124,031x = 74,180,786,682.25
  5. Step 5: Solve for x
    x = 74,180,786,682.25/124,031
  6. Step 6: Final answer
    x = 598,082.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.