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Finding the Third Proportional to 120,734 and 183,106

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Solution

The third proportional to 120,734 and 183,106 is: 277,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,734 : 183,106 = 183,106 : x
  2. Step 2: Convert to fraction form
    120,734/183,106 = 183,106/x
  3. Step 3: Cross multiply
    120,734x = 183,106 × 183,106
  4. Step 4: Simplify right side
    120,734x = 33,527,807,236
  5. Step 5: Solve for x
    x = 33,527,807,236/120,734
  6. Step 6: Final answer
    x = 277,699.80

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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.