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Finding the Third Proportional to 90,432 and 133,034.06

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Solution

The third proportional to 90,432 and 133,034.06 is: 195,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,432 : 133,034.06 = 133,034.06 : x
  2. Step 2: Convert to fraction form
    90,432/133,034.06 = 133,034.06/x
  3. Step 3: Cross multiply
    90,432x = 133,034.06 × 133,034.06
  4. Step 4: Simplify right side
    90,432x = 17,698,061,785.25
  5. Step 5: Solve for x
    x = 17,698,061,785.25/90,432
  6. Step 6: Final answer
    x = 195,705.74

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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.