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Finding the Third Proportional to 90,438.19 and 133,039.13

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Solution

The third proportional to 90,438.19 and 133,039.13 is: 195,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,438.19 : 133,039.13 = 133,039.13 : x
  2. Step 2: Convert to fraction form
    90,438.19/133,039.13 = 133,039.13/x
  3. Step 3: Cross multiply
    90,438.19x = 133,039.13 × 133,039.13
  4. Step 4: Simplify right side
    90,438.19x = 17,699,408,780.77
  5. Step 5: Solve for x
    x = 17,699,408,780.77/90,438.19
  6. Step 6: Final answer
    x = 195,707.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.