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Finding the Third Proportional to 109,109 and 162,023

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Solution

The third proportional to 109,109 and 162,023 is: 240,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,109 : 162,023 = 162,023 : x
  2. Step 2: Convert to fraction form
    109,109/162,023 = 162,023/x
  3. Step 3: Cross multiply
    109,109x = 162,023 × 162,023
  4. Step 4: Simplify right side
    109,109x = 26,251,452,529
  5. Step 5: Solve for x
    x = 26,251,452,529/109,109
  6. Step 6: Final answer
    x = 240,598.42

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.