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Finding the Third Proportional to 94,962 and 147,623

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Solution

The third proportional to 94,962 and 147,623 is: 229,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,962 : 147,623 = 147,623 : x
  2. Step 2: Convert to fraction form
    94,962/147,623 = 147,623/x
  3. Step 3: Cross multiply
    94,962x = 147,623 × 147,623
  4. Step 4: Simplify right side
    94,962x = 21,792,550,129
  5. Step 5: Solve for x
    x = 21,792,550,129/94,962
  6. Step 6: Final answer
    x = 229,487.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.