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Finding the Third Proportional to 90,772 and 147,095

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Solution

The third proportional to 90,772 and 147,095 is: 238,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,772 : 147,095 = 147,095 : x
  2. Step 2: Convert to fraction form
    90,772/147,095 = 147,095/x
  3. Step 3: Cross multiply
    90,772x = 147,095 × 147,095
  4. Step 4: Simplify right side
    90,772x = 21,636,939,025
  5. Step 5: Solve for x
    x = 21,636,939,025/90,772
  6. Step 6: Final answer
    x = 238,365.78

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.