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Finding the Third Proportional to 120,531 and 183,604.50

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Solution

The third proportional to 120,531 and 183,604.50 is: 279,684.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,531 : 183,604.50 = 183,604.50 : x
  2. Step 2: Convert to fraction form
    120,531/183,604.50 = 183,604.50/x
  3. Step 3: Cross multiply
    120,531x = 183,604.50 × 183,604.50
  4. Step 4: Simplify right side
    120,531x = 33,710,612,420.25
  5. Step 5: Solve for x
    x = 33,710,612,420.25/120,531
  6. Step 6: Final answer
    x = 279,684.17

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