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Finding the Third Proportional to 77,407.84 and 119,634.31

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Solution

The third proportional to 77,407.84 and 119,634.31 is: 184,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,407.84 : 119,634.31 = 119,634.31 : x
  2. Step 2: Convert to fraction form
    77,407.84/119,634.31 = 119,634.31/x
  3. Step 3: Cross multiply
    77,407.84x = 119,634.31 × 119,634.31
  4. Step 4: Simplify right side
    77,407.84x = 14,312,368,260.03
  5. Step 5: Solve for x
    x = 14,312,368,260.03/77,407.84
  6. Step 6: Final answer
    x = 184,895.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.