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Finding the Third Proportional to 77,592.94 and 119,882.53

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Solution

The third proportional to 77,592.94 and 119,882.53 is: 185,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,592.94 : 119,882.53 = 119,882.53 : x
  2. Step 2: Convert to fraction form
    77,592.94/119,882.53 = 119,882.53/x
  3. Step 3: Cross multiply
    77,592.94x = 119,882.53 × 119,882.53
  4. Step 4: Simplify right side
    77,592.94x = 14,371,821,298.91
  5. Step 5: Solve for x
    x = 14,371,821,298.91/77,592.94
  6. Step 6: Final answer
    x = 185,220.74

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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.