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Finding the Third Proportional to 120,534 and 262,089

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Solution

The third proportional to 120,534 and 262,089 is: 569,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,534 : 262,089 = 262,089 : x
  2. Step 2: Convert to fraction form
    120,534/262,089 = 262,089/x
  3. Step 3: Cross multiply
    120,534x = 262,089 × 262,089
  4. Step 4: Simplify right side
    120,534x = 68,690,643,921
  5. Step 5: Solve for x
    x = 68,690,643,921/120,534
  6. Step 6: Final answer
    x = 569,886.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.