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Finding the Third Proportional to 48,973.50 and 105,966

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Solution

The third proportional to 48,973.50 and 105,966 is: 229,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,973.50 : 105,966 = 105,966 : x
  2. Step 2: Convert to fraction form
    48,973.50/105,966 = 105,966/x
  3. Step 3: Cross multiply
    48,973.50x = 105,966 × 105,966
  4. Step 4: Simplify right side
    48,973.50x = 11,228,793,156
  5. Step 5: Solve for x
    x = 11,228,793,156/48,973.50
  6. Step 6: Final answer
    x = 229,283.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.