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Finding the Third Proportional to 44,851.50 and 105,727.50

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Solution

The third proportional to 44,851.50 and 105,727.50 is: 249,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,851.50 : 105,727.50 = 105,727.50 : x
  2. Step 2: Convert to fraction form
    44,851.50/105,727.50 = 105,727.50/x
  3. Step 3: Cross multiply
    44,851.50x = 105,727.50 × 105,727.50
  4. Step 4: Simplify right side
    44,851.50x = 11,178,304,256.25
  5. Step 5: Solve for x
    x = 11,178,304,256.25/44,851.50
  6. Step 6: Final answer
    x = 249,229.22

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.