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Finding the Third Proportional to 91,044 and 142,519.50

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Solution

The third proportional to 91,044 and 142,519.50 is: 223,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,044 : 142,519.50 = 142,519.50 : x
  2. Step 2: Convert to fraction form
    91,044/142,519.50 = 142,519.50/x
  3. Step 3: Cross multiply
    91,044x = 142,519.50 × 142,519.50
  4. Step 4: Simplify right side
    91,044x = 20,311,807,880.25
  5. Step 5: Solve for x
    x = 20,311,807,880.25/91,044
  6. Step 6: Final answer
    x = 223,098.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.