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Finding the Third Proportional to 105,563.50 and 155,552

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Solution

The third proportional to 105,563.50 and 155,552 is: 229,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,563.50 : 155,552 = 155,552 : x
  2. Step 2: Convert to fraction form
    105,563.50/155,552 = 155,552/x
  3. Step 3: Cross multiply
    105,563.50x = 155,552 × 155,552
  4. Step 4: Simplify right side
    105,563.50x = 24,196,424,704
  5. Step 5: Solve for x
    x = 24,196,424,704/105,563.50
  6. Step 6: Final answer
    x = 229,212.04

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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.