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Finding the Third Proportional to 120,564 and 183,654

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Solution

The third proportional to 120,564 and 183,654 is: 279,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,564 : 183,654 = 183,654 : x
  2. Step 2: Convert to fraction form
    120,564/183,654 = 183,654/x
  3. Step 3: Cross multiply
    120,564x = 183,654 × 183,654
  4. Step 4: Simplify right side
    120,564x = 33,728,791,716
  5. Step 5: Solve for x
    x = 33,728,791,716/120,564
  6. Step 6: Final answer
    x = 279,758.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.