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Finding the Third Proportional to 120,495.09 and 185,355.84

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Solution

The third proportional to 120,495.09 and 185,355.84 is: 285,130.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,495.09 : 185,355.84 = 185,355.84 : x
  2. Step 2: Convert to fraction form
    120,495.09/185,355.84 = 185,355.84/x
  3. Step 3: Cross multiply
    120,495.09x = 185,355.84 × 185,355.84
  4. Step 4: Simplify right side
    120,495.09x = 34,356,788,812.27
  5. Step 5: Solve for x
    x = 34,356,788,812.27/120,495.09
  6. Step 6: Final answer
    x = 285,130.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.