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Finding the Third Proportional to 90,458 and 133,072

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Solution

The third proportional to 90,458 and 133,072 is: 195,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,458 : 133,072 = 133,072 : x
  2. Step 2: Convert to fraction form
    90,458/133,072 = 133,072/x
  3. Step 3: Cross multiply
    90,458x = 133,072 × 133,072
  4. Step 4: Simplify right side
    90,458x = 17,708,157,184
  5. Step 5: Solve for x
    x = 17,708,157,184/90,458
  6. Step 6: Final answer
    x = 195,761.10

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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.