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Finding the Third Proportional to 90,960.19 and 143,123.06

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Solution

The third proportional to 90,960.19 and 143,123.06 is: 225,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,960.19 : 143,123.06 = 143,123.06 : x
  2. Step 2: Convert to fraction form
    90,960.19/143,123.06 = 143,123.06/x
  3. Step 3: Cross multiply
    90,960.19x = 143,123.06 × 143,123.06
  4. Step 4: Simplify right side
    90,960.19x = 20,484,211,019.38
  5. Step 5: Solve for x
    x = 20,484,211,019.38/90,960.19
  6. Step 6: Final answer
    x = 225,199.74

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.