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Finding the Third Proportional to 124,236 and 165,522

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Solution

The third proportional to 124,236 and 165,522 is: 220,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,236 : 165,522 = 165,522 : x
  2. Step 2: Convert to fraction form
    124,236/165,522 = 165,522/x
  3. Step 3: Cross multiply
    124,236x = 165,522 × 165,522
  4. Step 4: Simplify right side
    124,236x = 27,397,532,484
  5. Step 5: Solve for x
    x = 27,397,532,484/124,236
  6. Step 6: Final answer
    x = 220,528.13

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.