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Finding the Third Proportional to 77,315.20 and 119,713.82

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Solution

The third proportional to 77,315.20 and 119,713.82 is: 185,363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,315.20 : 119,713.82 = 119,713.82 : x
  2. Step 2: Convert to fraction form
    77,315.20/119,713.82 = 119,713.82/x
  3. Step 3: Cross multiply
    77,315.20x = 119,713.82 × 119,713.82
  4. Step 4: Simplify right side
    77,315.20x = 14,331,399,285.29
  5. Step 5: Solve for x
    x = 14,331,399,285.29/77,315.20
  6. Step 6: Final answer
    x = 185,363.28

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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.