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Finding the Third Proportional to 69,365 and 103,857.50

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Solution

The third proportional to 69,365 and 103,857.50 is: 155,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,365 : 103,857.50 = 103,857.50 : x
  2. Step 2: Convert to fraction form
    69,365/103,857.50 = 103,857.50/x
  3. Step 3: Cross multiply
    69,365x = 103,857.50 × 103,857.50
  4. Step 4: Simplify right side
    69,365x = 10,786,380,306.25
  5. Step 5: Solve for x
    x = 10,786,380,306.25/69,365
  6. Step 6: Final answer
    x = 155,501.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.