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Finding the Third Proportional to 120,582 and 183,681

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Solution

The third proportional to 120,582 and 183,681 is: 279,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,582 : 183,681 = 183,681 : x
  2. Step 2: Convert to fraction form
    120,582/183,681 = 183,681/x
  3. Step 3: Cross multiply
    120,582x = 183,681 × 183,681
  4. Step 4: Simplify right side
    120,582x = 33,738,709,761
  5. Step 5: Solve for x
    x = 33,738,709,761/120,582
  6. Step 6: Final answer
    x = 279,798.89

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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.