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Finding the Third Proportional to 121,131 and 185,935.50

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Solution

The third proportional to 121,131 and 185,935.50 is: 285,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,131 : 185,935.50 = 185,935.50 : x
  2. Step 2: Convert to fraction form
    121,131/185,935.50 = 185,935.50/x
  3. Step 3: Cross multiply
    121,131x = 185,935.50 × 185,935.50
  4. Step 4: Simplify right side
    121,131x = 34,572,010,160.25
  5. Step 5: Solve for x
    x = 34,572,010,160.25/121,131
  6. Step 6: Final answer
    x = 285,410.09

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.